Final Answer
$8\log_{5}\left(x\right)+2$
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Step-by-step Solution
Problem to solve:
$\log_{5}\left(5^2\right) x^8$
Choose the solving method
1
Calculate the power $5^2$
$\log_{5}\left(25x^8\right)$
Learn how to solve expanding logarithms problems step by step online.
$\log_{5}\left(25x^8\right)$
Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression log(5,5^2x^8). Calculate the power 5^2. Use the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right), where M=x^8 and N=25. Evaluating the logarithm of base 5 of 25. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x).
Final Answer
$8\log_{5}\left(x\right)+2$