Question Expand as many logarithms as possible: $\log \frac{x^{4} y^{3}}{z^{2}}$

Studdy Solution
Finally, we can use the power rule of logarithms to move the exponents in front of the logarithms. The power rule states that $\log a^{n} = n \log a$.
$$\log x^{4} + \log y^{3} - \log z^{2} =4 \log x +3 \log y -2 \log z$$So, the expanded form of the given logarithm is $4 \log x +3 \log y -2 \log z$.