whats to the power of what equals 528

Question

2 to the power of what equals 528

Answer 1

You've written the statement:

2^x = 528

 

In order to solve a problem that has a variable in the exponent, you need to use logarithms. If you take the log₂ of both sides, you get

log₂ 2^x = log₂ 528

x log₂ 2 = log₂ 528

x = (ln 528)/(ln 2)

 

Alternatively, you could take the ln (base e) or log (base 10) at the beginning, and you'll get the same answer.

Answer 2

2⁹=512

2¹⁰=1024

2^(9.04439411936)=528