Question

pls help write the expression as the logarithm of a single number! If correct, will select you as most brainly!

Answer 1

Answer:

log ($\frac{x^{3} x y^{6} }{z^{2} }$)

Step-by-step explanation:

Given expression:

    3log x + 6log y - 2log z

We are to express the given log as single expression;

To solve this problem, we must apply some simple logarithmic rules.

      3log x + 6log y - 2log z;

First, re-write to give;

              x log y  = log yˣ

          3log x + 6log y - 2log z = log x³ + log y⁶ - log z²

   

Then,

            log t + log k - log y = log ($\frac{t x k}{y}$)

 log x³ + log y⁶ - log z² = log ($\frac{x^{3} x y^{6} }{z^{2} }$)