Question

what is 4^-2=1 over 16
in logarithmic form?

Answer 1

\(\large 4^{-2} = \dfrac{1}{16} \)

\(\large a^x =b \implies \log_a b=x\)

Answer 2

can you explain how i would work this out

Answer 3

sure, take log on both sides of the equation, what do u get ?

Answer 4

so take the log of both sides

Answer 5

yup

Answer 6

well the log of 4^-2 is -1.204

Answer 7

we need not evaluate it. we need the log form, so keep it as log 4^-2

now use the fact that log a^b = b log a
then log 4^-2 = ... ?

Answer 8

and the log of 1 over 16 is the same thing

Answer 9

ofcourse,
4^-2 = 1/4^2 = 1/16
so their log will be same

Answer 10

so my answer is the log of 4^-2=1/16 right

Answer 11

the answer should be in log form
let me write out the steps