Answer:
[tex]\log \left ( \frac{125u^3v^6}{w^9} \right )[/tex]
Step-by-step explanation:
Logarithm function is the inverse of an exponential function.
Logarithmic function [tex]\log x[/tex] is defined only for [tex]x>0[/tex].
Its range is set of real numbers.
Real numbers consists of both rational and irrational numbers.
Its curve is called logarithmic curve.
Properties of logarithm:
[tex]\log a^b=b\log a\\\log ab=\log a+\log b\\\log \left ( \frac{a}{b} \right )=\log a-\log b[/tex]
To find:[tex]3\log \left ( \frac{5uv^2}{w^3} \right )[/tex]
[tex]3\log \left ( \frac{5uv^2}{w^3} \right )=\log \left ( \frac{5uv^2}{w^3} \right )^3=\log \left ( \frac{125u^3v^6}{w^9} \right )[/tex]
Coefficient of the final term is 1.
