Question

Solve for x:6^3x= 6^2x+7

Answer 1

The given equation is expressed as

`\begin{gathered} 6^(3x)=6^(2x+7) \\ \text{The base is the same on both sides of the equation. Therefore, we would equate } \\ \text{the powers. It becomes} \\ 3x\text{ = 2x + 7} \\ 3x\text{ - 2x = 7} \\ x\text{ = 7} \end{gathered}`