Question

Hello! Need a little help on part B. Thank you!

Answer 1

we have the system of equations

`\begin{gathered} f(x)=\log_2x+2 \\ g(x)=\log_2x^3-6 \end{gathered}`

Equate the functions f(x) and g(x)

`\log_2x+2=\log_2x^3-6`

Apply property of logarithms

Apply the definition of logarithm

`\begin{gathered} 2^4=x \\ x=16 \end{gathered}`