Question

Which of the following logarithmic equations is equivalent to the exponentialequation below?8* -512A. log, 512 -B. 1096128 - XC. log, * - 512O D.log, 512 - 8

Answer 1

To find the eqivalent exponential equation to the following equation

`8^x=512`

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

`a^x=y\text{ if and only if }\log _ay=x`

For the given equation we get,

`\log _(10)512=x`

Answer is: option A:

`\log _(10)512=x`