College Algebra (6th Edition)

fill the blank with $\ln 5$
Apply the basic property of logarithms: $b^{\log_{b}x}=x\qquad$ with base b=e, and substitute x with $5^x$: $5^{x}=e^{\ln 5^{x}}$ $....$and now, apply the The Power Rule: $\log_{\mathrm{b}}\mathrm{M}^{\mathrm{p}}=\mathrm{p}\log_{\mathrm{b}}\mathrm{M}$ $5^{x}=e^{(\ln 5)\cdot x}$ So $y=3\cdot e^{(\ln 5)\cdot x}$ fill the blank with $\ln 5$