Solve the equation by expressing each side as a power of the same base and then equating exponents. Given: 8^{4x}=3.1

asked 2020-12-02
Solve the equation by expressing each side as a power of the same base and then equating exponents. Given: \(\displaystyle{8}^{{{4}{x}}}={3.1}\)

Answers (1)

Step 1 Since the right side value is in decimals, we can’t express each side as a power of the same base. Step 2 We can solve the equation using properties of logarithm. \(\displaystyle{8}^{{{4}{x}}}={3.1}\)
\(\displaystyle{4}{x}\ {\ln{{\left({8}\right)}}}={\ln{{\left({3.1}\right)}}}\)

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