Question

What is the exponential form of the logarithmic equation?5= log base .9 .59049

Answer 1

Answer:
`\begin{gathered} Exponential\text{ form:} \\ 0.9^5\text{ = 0.59049} \end{gathered}`

Step-by-step explanation:

Given:

`5\text{ }=\text{ log}_(0.9)0.59049`

To find:

to convert from logarithmic form to exponential form

`\begin{gathered} If\text{ logarithmic form:} \\ a\text{ = log}_bC \\ E\text{xponential form:} \\ b^a\text{ = C} \\ \\ The\text{ base of the log will become the base of the expoenent on the other side} \\ \text{The exponent will be the number of the other side of the equation} \end{gathered}`
`\begin{gathered} Applying\text{ same rule:} \\ 0.9^5\text{ = 0.59049} \end{gathered}`