Question

equivalent logarithmic form
5^2 = x
evaluate
log4 64

Answer 1

log(5)x=2

Answer 2

log44^3=3

Answer 3

\[5^2=x\]
We know that
\[log_x y=z=> y^z=x\]
\[5^2=x=> \log_ 5 x=2\]

Answer 4

Equivalent of \(5^2=x\)
logs give the exponent, so 2 is the exponent. 5 is the base. Thus;
\[\log_5 x=2\]

For \(\log_4 64\), write 64 as a power of 4.
\[\log_4 4^3\]

Once again, since logs give exponents, and the bases are equal, take the exponent as your answer, 3.

Answer 5

Sorry
\[log_x y=z=> x^z=y\]

Answer 6

thankyou everyone !!!!!!!!!!