Question

Solve 49^(2x-1) = 7^(3x+2)

Answer 1

`x=4`

Explanation:

Solving for x,

`\begin{gathered} 49^(2x-1)=7^(3x+2) \\ \rightarrow(7^2)^(2x-1)=7^(3x+2) \\ \rightarrow7^(4x-2)=7^(3x+2) \\ \rightarrow4x-2=3x+2 \\ \rightarrow4x-3x=2+2 \\ \rightarrow x=4 \end{gathered}`

This way, we can conlcude that:

`x=4`