Question

submitting an external tool condense the logarithm: log a + c log x answer attempt 1 out of 2 log (

Explanation:

Step1: Apply power rule of logs

The power rule of logarithms states that \( c\log_b x=\log_b x^c \). So, for \( c\log x \), we can rewrite it as \( \log x^c \).

Step2: Apply product rule of logs

The product rule of logarithms states that \( \log_b M+\log_b N = \log_b(MN) \). Now we have \( \log a+\log x^c \), applying the product rule, we get \( \log(ax^c) \).

Answer:

\( ax^c \) (inside the log, so the condensed form is \( \log(ax^c) \))