math
posted by curious student on .
1/2 to the power of x = 1152
what is "x" in this situation? please help!

(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