Question

which logarithmic equation correctly rewrites this exponential equation? 8x = 64 a. log8 64 = x b. log8 x = 64 c. log64 8 = x d. logx 64 = 8

Answer 1

The logarithmic equation of the given exponential function is , $\rm log_864=x$.

What is a logarithmic function?

The logarithmic function is given as the inverse of the exponential function.

It is given as:

$\rm Exponential\;function\rightarrow y=a^x\\Logarithmic\;function\rightarrow log_xy=a$

The logarithmic function of the given exponential equation is given as:

$\rm y=a^x\\\\8^x=64\\log\;on \;both\;sides\\log_864=x$

Thus, the logarithmic equation is, $\rm log_864=x$. Hence, option A is correct.

Learn more about exponential function, here:

https://brainly.com/question/11487261

#SPJ1