Answer:
log ([tex]\frac{x^{3} x y^{6} }{z^{2} }[/tex])
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 ([tex]\frac{t x k}{y}[/tex])
log x³ + log y⁶ - log z² = log ([tex]\frac{x^{3} x y^{6} }{z^{2} }[/tex])
