log 1/5 (4x+7) = -2

To solve the logarithmic equation, we need to rewrite it in exponential form.

Given: log 1/5 (4x+7) = -2

This can be rewritten as: 1/5^(-2) = 4x+7

Now simplify the left side: 5^2 = 4x+7 25 = 4x+7

Subtract 7 from both sides: 25 - 7 = 4x 18 = 4x

Divide by 4 to solve for x: x = 18/4 x = 4.5

Therefore, the solution to the equation log 1/5 (4x+7) = -2 is x = 4.5.