Question

4^x=16
how to find x?

Answer 1

\[4^x=4^2\]
x=2

Answer 2

there are a few ways; but I think they all involve seeing that 16 = 4^2

Answer 3

4^x = 16 ; ln the sides

ln(4^x) = ln(16) ; simplify

x ln(4) = ln(16) ; /ln(4)

x = ln(16)/ln(4) a calculator will be able to solve this format

Answer 4

Using a log to base 4 would probably be simpler than log to base e in this case though.