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submitting an external tool answer in terms of log x. log 7x³

Question

submitting an external tool answer in terms of log x. log 7x³

Explanation:

Step1: Apply log product rule

The logarithm of a product is the sum of the logarithms, so $\log(ab)=\log a+\log b$. For $\log(7x^3)$, we get $\log 7 + \log x^3$.

Step2: Apply log power rule

The logarithm of a power is the exponent times the logarithm, so $\log a^n = n\log a$. For $\log x^3$, we get $3\log x$.

Step3: Combine results

Substitute back, we have $\log 7 + 3\log x$.

Answer:

$\log 7 + 3\log x$