Question

Find (g/f)(x), if f(x) = 5log x and g(x) = log x5.01- 15

Answer 1

we have the functions

`\begin{gathered} f(x)=5logx \\ g(x)=logx^5 \end{gathered}`

Find out (g/f)(x)

`\left(g/f\right)\left(x\right)=(g(x))/(f(x))=(logx^5)/(5logx)`

Apply property of logarithms

`\begin{gathered} ((g)/(f))(x)=(logx^(5))/(5logx)=(5logx)/(5logx)=1 \\ \\ therefore \\ \\ ((g)/(f))(x)=1 \end{gathered}`

The answer is 1