Answer:
To find the eqivalent exponential equation to the following equation
[tex]8^x=512[/tex]
we have that,
A mathematical notation of expressing a quantity as a number raised to the power of another number is called the exponential form and it is also called as exponential notation. According to the exponentiation, a quantity is split as factors on the basis of a number.
From the definition of exponential function, we have
[tex]a^x=y\text{ if and only if }\log _ay=x[/tex]
For the given equation we get,
[tex]\log _{10}512=x[/tex]
Answer is: option A:
[tex]\log _{10}512=x[/tex]
