Given:
[tex]5\text{ }=\text{ log}_{0.9}0.59049[/tex]To find:
to convert from logarithmic form to exponential form
[tex]\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}[/tex][tex]\begin{gathered} Applying\text{ same rule:} \\ 0.9^5\text{ = 0.59049} \end{gathered}[/tex]