Question

How can I solve this

Answer 1

`5 \log x - (2)/(3) \log y + 4 \log z`

Explanation:

Rewrite the denominator as a rational power of y.

`\log \frac{z^4x^5}{\sqrt[3]{y^2}} = \log \frac{z^4x^5}{y^{(2)/(3)}} =`

Now use laws of logarithms.

`= \log z^4 + \log x^5 - \log y^{(2)/(3)} = 4 \log z + 5 \log x - (2)/(3) \log y`