Answer:
2log(3)
Step-by-step explanation:
[tex]log(9x^5) + 5 log(\frac{1}{x})[/tex]
To simplify the given expression we apply log property
[tex]log m + log n = log (mn)[/tex]
[tex]n log m = log {m^n}[/tex]
[tex]log(9x^5) + 5 log(\frac{1}{x})[/tex]
[tex]log(9x^5) +log(\frac{1}{x})^5[/tex]
[tex]log(9x^5) +log(\frac{1}{x^5})[/tex]
now multiply the log terms
[tex]log(9x^5 \cdot \frac{1}{x^5})[/tex]
[tex]log(9)= log(3^2)= 2log(3)[/tex]
