Question

Please help and explain!

Answer 1

\[2^{x}=256\]

Answer 2

you know 2^2 = 4
2^3=8 etc
What power do you raise 2 to get 256

The solution is to use logarithm

Take log of both sides of equation

Then use the fact the log(a^b) = b log a

in this case you will find the answer is a whole number (integer)

Answer 3

Okay, what do i need to do to find what power i rase 2 to get 256

Answer 4

exactly what I said above -

Answer 5

ok so its going to be 8?

Answer 6

is that a guess - or did you use logarithms?