5^2x = 3(2^x) find x please show steps
Answers
Step-by-step explanation:
the answer is in the image above
Answer:
Step-by-step explanation:
There is a possible issue in your question...
As written it can be interpreted in two ways
like this #1 :
[tex]5^{2x} = 3(2^x)[/tex]
or like this #2 :
[tex]5^2x = 3(2^x)[/tex]
VERSION #1
divide by the 2^x
[tex]\frac{5^{2x} }{2^x} = 3[/tex]
to be able to get to the exponent you have to take "logs"
... look up the rules for logs ... log(ab) = log (a)+log(b) , log(a/b) = log(a)-log(b) etc.
if you take the logs of both sides the using the quotient rule and the exponent rule ....result the result is...
[tex]5^{2x}=3\left(2^x\right)\quad :\quad x=\frac{\ln \left(3\right)}{2\ln \left(5\right)-\ln \left(2\right)}\quad \left(\mathrm{Decimal}:\quad x=0.43496\dots \right)[/tex]
VERSION #2
[tex]5^2x\:=\:3\left(2^x\right)[/tex]
25 x = 3(2^x)
[tex]\frac{25}{3} = \frac{2^{x} }{x}[/tex]
This gets really nasty, and I assume that it is not the original problem..
[tex]x=-\frac{\text{W}_{-1}\left(-\frac{3\ln \left(2\right)}{25}\right)}{\ln \left(2\right)},\:x=-\frac{\text{W}_0\left(-\frac{3\ln \left(2\right)}{25}\right)}{\ln \left(2\right)}\quad \mathrm{ }:\quad x=5.52482 ,\:x=0.13144[/tex]
Related Questions
Click on all of the numbers that make the comparison true.
8.32 >
A 8.058
B. 8.492
C. 8.41
D. 8.28
E. 8.1
F. 8.3
Answers
Answer:
A, D, E, F
Step-by-step explanation:
0.32 is bigger than 0.058; smaller than 0.492 and 0.41, but also bigger than 0.28, 0.10 and 0.30
Answer:
Step-by-step explanation:
35
Q9. Alice worked 52 hours this week. She gets paid $9.35 per hour for the
first 40 hours and then gets time-and-a-half for the rest of the time. How
much money did she make this week?
Answers
9514 1404 393
Answer:
$542.30
Step-by-step explanation:
For the first 40 hours, Alice made ...
(40 h)($9.35/h) = $374.00
For the next 52 -40 = 12 hours, Alice made ...
(12 h)($9.35/h × 1.5) = $168.30
Then the total Alice made for working 52 hours is ...
$374.00 +168.30 = $542.30
Alice made $542.30 this week.
for the math experts
Answers
Answer:
45 cause any value inside mod function always return to postive
PLS HELP I WILL MARK THE CORRECT ANSWER BRAINLIEST !!!!!!! PLS HELP IMAGE INCLUDED!!!!!!
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62.9042 to the nearest hundredth
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:))
Answer:
62.9
Step-by-step explanation:
4(y-3) + 3(y+4). solve the equation fast and ill mark you brainliest
Answers
Step-by-step explanation:
4(y-3) + 3(y+4)
4y-12+ 3y+12
4y+3y-12+12
7y
I hope it helped U
stay safe stay happy
Answer:
hope it helps you.......
The simple interest on a sum of money invested at 3% per annum for 2 years was $39.75. Calculate the sum of money invested.
Answers
Answer:
N1,640
Step-by-step explanation:
I = N123; R = 3%' T = 2
1
2
yrs; P =
100
×
1
R
T
P =
100
×
123
3
×
2.5
principal(P) = N1640
please help, geometry b
Answers
Answer:
Radius=2sqrt(30)
Step-by-step explanation:
Tangents drawn from a common point are equal in length, so AB=BD, 2x-2=x+5, x=7. Next CDB is a right angled triangle, so CD^2+DB^2=CB^2, CD=7 and CB=13, CD=sqrt(120)=radius
Look for a pattern in the first three diamonds below. For the fourth diamond, explain how you could find the missing numbers (?) if you know the two numbers
Copy the Diamond Problems below onto your paper. Then use the pattern you discovered to complete each one.
HELPPP PLEASE
Answers
Answer:
See below.
Step-by-step explanation:
The top number is the product (multiplication) of the two side numbers. The bottom number is the sum (addition) of the two side numbers.
https://brainly.com/question/24370497
10÷2=5
5+2=7
6÷3=2
2+3=5
4÷-4=-1
-1-4=-5
this is the pattern
How many terms are in the expression 5m2 - mn + 4n + 7?
4
3
2
Answers
Answer:
4 of them I think
the diagrams below show the numbers in base two which are arranged in few rows
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let x is equalbut if you quality I and Y is equal to 80 ft decide that young (a minus b is equal to young) a greatest loss - 1 (a intersection b) close
X squared can be combined with X
true or false
Answers
Answer:
False, assuming "combined" means "added or subtracted and would simplify."
[tex]x^2[/tex] and [tex]x[/tex] cannot be combined with addition or subtraction. They are not like terms.
Step-by-step explanation:
Combining like terms only works if the variables and the powers on the variables match perfectly.
Examples:
[tex]x^2[/tex] and [tex]x[/tex] don't have matching powers, so they're not like terms.
[tex]x^2[/tex] and [tex]y^2[/tex] have the same powers, but the variables don't match, so they're not like terms.
Anything can be multiplied together though. So that's a different situation.
on a piece of paper graph y<2x-3 then determine which answer matches
Answers
Answer:
i think its 5 i think i dont know havent done this since 6th grade
Please help with steps. Will give brainliest. Simplify
Answers
Answer:
Step-by-step explanation:
For 30 minutes you do a combination of walking and jogging At the end of your workout your screen displays 2.5 miles you know that you walk 0.05 miles per minute and jog 0.1 per minute how much time were you walking. Jogging.
Please write the equation and solve it. Thank you
First person to answer will get brainliest
Answers
Let the time spent in walking = x minutes
And the time spent in jogging = y minutes
If I walk with the speed = 0.05 miles per minute
Distance covered in walking = Speed × Time
= 0.05x miles
If I jog with the speed = 0.1 miles per minute
Distance covered in jogging = Speed × Time
= 0.1y miles
Since, screen displays the distance covered in walking and jogging = 2.5 miles
Equation for the situation will be,
0.05x + 0.1y = 2.5
5x + 10y = 250
x + 2y = 50 -------(1)
Total time spent in walking and jogging = 30 minutes
Therefore, equation for the situation will be,
x + y = 30 ----- (2)
By subtracting equation (2) from equation (1),
(x + 2y) - (x + y) = 50 - 30
y = 20 minutes
By substituting the value of y in equation (2),
x + 20 = 30
x = 10 minutes
Therefore, time spent in walking is 10 minutes and time spent in jogging is 20 minutes.
Learn more,
https://brainly.com/question/17412056
Please help me ASAP
Answers
18*2/6 = €6 was spent and 18-6= €12 were used!
-8-4x>1
please help
Answers
I hope this help you
20. From the alongside figure, the value of x is a. 45° b.55 c.120 d.60
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Answer:
I think the value of x= 45°
Which equation is equivalent to the given equation? x^2 - 10x = 14
Answers
Answer:
(x - 5)² = 39
Step-by-step explanation:
Given
x² - 10x = 14
To obtain an equivalent equation use the method of completing the square.
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = 14 + 25
(x - 5)² = 39
I believe that the answer you are looking for is (x-5)²-39, if you use the completing the square method.
Solution:
x²-10x=14
Transferring 14 from the right side to the left side,
x²-10-14=0
Squaring the equation,
(x-5)²-39, or (x-5)²=39 (Depends on how you prefer to write it).
So, that is the final answer. I hope this helped. If you have any questions about the answer, please let me know. Enjoy your day and take care!
Find the coordinates of the midpoint M of ST s(-2,4) t(3,9)
Answers
Answer:
M= 3.535
Step-by-step explanation:
Look at the line t then divide by 2
2r=1/6 find the value of r.
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PLEASE HELP ASAP NEED ANSWER WITHIN 10 MINUTES PLEASE
Answers
I need help asap plz.
Answers
Answer:
» [tex]❎ \: f( \frac{ - 1}{2} ) = - 2 [/tex]
when x is -½, f(x) is 5/4.
» [tex]{ \boxed{✔}} \: f(0) = \frac{3}{2} [/tex]
check second row.
» [tex] ❎ \: f(1) = - 1[/tex]
f(1) is 2
» [tex]❎ \: \: f(2) = 1[/tex]
f(2) is 5/2
» [tex]{ \boxed{✔}} \: f(4) = \frac{7}{2} [/tex]
Answer:
B. f(0) = 3/2 and E f(4) = 7/2Step-by-step explanation:
Given function:
f(x) = 1/2x + 3/2Find the following:
f(-1/2) = 1/2(-1/2) + 3/2 = -1/4 + 6/4 = 5/4, incorrectf(0) = 3/2, given in the table, correctf(1) = 2, given in the table, incorrectf(2) = 5/2, given in the table, incorrectf(4) = 1/2(4) + 3/2 = 2 + 3/2 = 7/2, correctCorrect choices:
f(0) = 3/2f(4) = 7/25/18 + 2/9=
geometry
adding fractions
Answers
Answer:
1/2
Step-by-step explanation:
find the lowest common multiple
18x1 = 18
9x2 = 18
5/18 + 2/9
= 5/18 + 4/18 (multiply 2/9's numerator and denominator by 2)
= 9/18 or 1/2
is 2/3 rational is 3.1415926535 rational
Answers
Answer:
yes 2/3 is rational.
Step-by-step explanation:
please mark me brain list
What is 10 x 0.018?
0.18
1.8
18
180
Answers
Answer:
0.18
Step-by-step explanation:
hope this helps
Answer:
0.18
Step-by-step explanation:
multiply them together
Can the distributive property be used to rewrite
8 x (10 + 9)?
Answers
Answer:
yes
Step-by-step explanation:
using the distributive property 8 × (10 + 9)
becomes 8× 10 + 8 × 9
3 2/9 - 2 1/2 pls help me I stuck it it due today
Answers
Answer:
[tex]\frac{13}{18}[/tex]
Evaluate the expression when x = 6 and y = -4. 6x - 5y
Answers
Hi ;-)
[tex]\text{x}=6 \ \text{and} \ \text{y}=-4\\\\6\text{x}-5\text{y}=6\cdot6-5\cdot(-4)=36+20=\boxed{56}[/tex]
Answer:
56
Step-by-step explanation:
x = 6 and y = -4
Substituting the values in the equation,
6(6) - 5(-4)
=> 36 + 20
=> 56
The price of an item has dropped to $ 27 today. Yesterday it was $60. Find the Percentage decrease.
Answers
Answer:
55% decrease
Step-by-step explanation:
60 - 27 = 33
33 / 60 = 55