# log5*5^4

Question
Logarithms
$$\displaystyle{\log{{5}}}\cdot{5}^{{4}}$$

2020-11-28
We are given: $$\displaystyle{\log{{5}}}\cdot{5}^{{4}}$$
Let $$\displaystyle{y}={\log{{5}}}\cdot{5}^{{4}}{\quad\text{and}\quad}{w}{r}{i}{t}{e}\in{\exp{{o}}}\ne{n}{t}{i}{a}{l}{f}{\quad\text{or}\quad}{m}:{P}{S}{K}{\log{{b}}}{x}={a}\to{b}^{{a}}={x}$$
$$\displaystyle{5}^{{y}}={5}^{{4}}$$
Equating exponents, we have: y=4
Hence, $$\displaystyle{\log{{5}}}\cdot{5}^{{4}}={4}$$

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