Question

Expand: In (4a)^3
help please

Answer 1

`3\ln 4 + 3 \ln a`

Explanation:

`\ln(4a)^3\\\\=3\ln (4a)~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3(\ln 4 + \ln a)~~~~~~~~~~~~~~~~~~~~;[\log_b (mn) = \log_b m + \log_b n]\\\\=3\ln 4 + 3 \ln a`