Question

Find the exact value of the expression:

log 2 base 16.

I did the following:

16^x = 2
2^4x=2
4x=2
x=1/2

Answer 1

16^x=2 (definition of logarithm)
2^(4x) = 2^(1) (both sides raised to a power of base 2)
Can you complete your work from here?

Answer 2

Are you allowed to use a calculator?

Answer 3

\(\large\color{slate}{\log_22^4 }\) .....

Answer 4

4 goes on the outside.

Answer 5

and on

Answer 6

Got 1/4 as my answer.

Found my mistake. Thanks for the help!

Answer 7

Great, 1/4 is good! :)