Question

Use the definition of a logarithmic function to write the logarithmic equation as an equation involving an exponent.log8K=L

Answer 1

The logarithm of a positive real number x with respect to base b[nb 1] is the exponent by which b must be raised to yield x. In other words, the logarithm of x to base b is the solution y to the equation written as

`\begin{gathered} \log _bx=y \\ is \\ x=b^y \end{gathered}`

Hence The logarithm equation

`\log _8K=L`

Can be written in the exponent form in which the base of the logarithm becomes the base of the exponent.

Hence

`K=8^L`

Therefore the exponent form of the given logarithm equation is K=8^L