Question

4^x = 256

Answer 1

convert right side with base as 4
256=4^4
now equate their powers

Answer 2

what? lol

Answer 3

\[4^x = 256\]Can you write \(256\) as a power of \(4\)?
\[4*4 = 4^2 = 16\]\[4*4*4 = 4^3 = 64\]Etc.

Once you figure out which power of 4 equals 256, you'll have something like
\[4^x = 4^{\text{num you figured out}}\]And at that point it should be clear that the value of \(x\) is the number you figured out...

Answer 4

oh i c thanks;)

Answer 5

4^x = 256

log_4 (4^x) = log_4 (256)
x log_4(4) = log_4 (16^2)
x = 2 log_4 (16)
=

Answer 6

Another way to play:
\[4^x = (2*2)^x = 2^x*2^x = 2^{2x}\]\[2^{2x} = 256\]\[256=2^8\]\[2^{2x} = 2^8\]\[2x=8\]\[x=\]

Answer 7

thanks everyone very helpfull