Let's solve your equation step-by-step.9=3x−5Step 1: Flip the equation.3x−5=9Step 2: Add 5 to both sides.3x−5+5=9+53x=14Step 3: Solve Exponent.3x=14log(3x)=log(14)(Take log of both sides)x*(log(3))=log(14)x=log(14)log(3)x=2.402174Answer:x=2.402174

[latex]9 = 3^{x-5} \\ 3^2=3^{x-5} \\2=x-5 \\ 2+5=x \\ x=7[/latex]