Question

Which of the following values of x solves 6^2x-1=36^-x41/3-41/4

Answer 1

x = 1/4

Step-by-step explanation

`\begin{gathered} 6^(2x-1)=36^(-x) \\ 6^(2x-1)=6^(2(-x)) \\ 6^(2x-1)=6^(-2x) \\ \text{Equate the power of 6} \\ 2x\text{ - 1 = -2x} \\ 2x\text{ + 2x = 1} \\ 4x\text{ = 1} \\ x\text{ = }(1)/(4) \end{gathered}`