# math

posted by .

1/2 to the power of x = 1152
what is "x" in this situation? please help!

• math -

(1/2)^x = 1152

rewrite as,
2^(-x) = 1152
Take the logarithm to the base 2 of both sides:
-x log 2 = log 1152
-x = (log(1152))/(log(2))
Divide both sides by -1:
x = -(log(1152))/(log(2))
x = - 3.061452/0.3010299
x = -10.1699

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### AP Statistics

How would I go about solving these problems?
2. ### Math

If an object travels in a circle 32pi/5 radians, at what degree measure is it, relative to where it started?
3. ### math

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction. A. 245/1152 B. 4/10 C. 2/5 D. 42/48
4. ### Physics

What is the energy flow for the situation below: Rainfall being used in a hydroelectric power station that produces power that is stored in a battery.
5. ### Physics (Science)

Hi, For my physics class, we have to design our own experiments to calculate the amount of power exerted for each situation. However, I'm really unsure of how to go about finding the power for the situations. The first situation is …
6. ### Math 8R - HW Qs. Check

Write the product of (1.7 x 10 to the 9th power) x (1.4 x 10 to the 2nd power) in scientific notation My Answer - 2.38 x 10 to the 11th power am i correct and please reply this post
7. ### algebra

Please help I have tried this question so many times: I cannot type out the exponents because my keyboard does not allow so I'll have to write it in verbal form I'm sorry. What is the simplified form of -9 m to the power of negative …
8. ### Math

Which of the following is equivalent to the expression 8 to the -5 power times 8 to the second power A) 1/8 to the 7 power B) 1/8 to the 3 power C) 8 to the 3 power D) 8 to the 7 power I was in between b and c but im pretty sure its …
9. ### Math

Need to simplify (6b to the 2 power)to the 2nd power (6b to the 4th power)to the 4th power equals 24b to the 4th power Not sure if I did this right trying to understand how to simplify. Please help, please.
10. ### Math

Write a story problem that can be represented with 1152รท24

More Similar Questions