Question

Solve: 16^x = (1/4) ^x-5(Keep your answer in simplified improper fraction form)x = ___

Answer 1

Okay, here we have this:

We are going to solve the provided equation, so we obtain the following:

`\begin{gathered} 16^x\: =\: \mleft(1/4\mright)\: ^(x-5) \\ (4^2)^x=(4^(-1))^(x-5) \\ 4^(2x)=4^(-(x-5)) \\ 2x=-(x-5) \\ 2x=-x+5 \\ 2x+x=5 \\ 3x=5 \\ x=(5)/(3) \end{gathered}`