Question

Express 3 log x^2 + 7 log x as a single log

Answer 1

log x^13.

Explanation:

Using the laws of logarithms

a log b = log b^a and log a + log b = log ab:

3 log x^2 + 7 log x

= log (x^2)^3 + log x^7

= log x^6 + log x^7

= log (x^6*x^7)

= log x^13.