Question

question
condense the logarithm:
\log k + 8\log x
answer attempt 1 out of 2
\log (\square) submit answer

Explanation:

Step1: Apply power rule to \(8\log x\)

The power rule of logarithms states that \(n\log a=\log(a^n)\). So, \(8\log x = \log(x^8)\).

Step2: Apply product rule to \(\log k+\log(x^8)\)

The product rule of logarithms states that \(\log a+\log b=\log(ab)\). So, \(\log k+\log(x^8)=\log(k\cdot x^8)=\log(kx^8)\).

Answer:

\(kx^8\)