log5*5^4

Question
Logarithms
asked 2020-11-27
\(\displaystyle{\log{{5}}}\cdot{5}^{{4}}\)

Answers (1)

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, \(\displaystyle{\log{{5}}}\cdot{5}^{{4}}={4}\)
0

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