solve: log6 (2x + 4) =2
To solve the equation log6(2x + 4) = 2, we need to isolate the variable x.
First, rewrite the logarithmic equation in exponential form:
6^2 = 2x + 4
Simplify the exponential equation:
36 = 2x + 4
Next, isolate the term with x:
2x = 36 - 4
2x = 32
Finally, solve for x by dividing both sides by 2:
x = 32/2
x = 16
Therefore, the solution to the equation log6(2x + 4) = 2 is x = 16.