Final answer:
The equation logx 36 = 2 is equivalent to the equation x = 6, as x squared equals 36, and the square root of 36 is 6.
Step-by-step explanation:
The equation logx 36 = 2 can be rewritten using the definition of a logarithm. Remember that if logb A = C, this is equivalent to saying bC = A. Applying this to our original equation, we have x2 = 36. This means that the base x raised to the power of 2 equals 36.
Now we solve for x by finding the square root of 36. The square root of 36 is 6, so x must be equal to 6. Therefore, the equivalent equation is x = 6.