Question

Which equation is equivalent to log^x36=2?

Answer 1

The equation which is equivalent to $\log _{x} 36=2$ is $x^{2}=36$ or x = 6 ($\log _{6} 36=2$).

Step-by-step explanation:

Given Equation:

           $\log _{x} 36=2$

As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:

           $b^{y}=a$

Then, the base b logarithm of x is equal to y

           $\log _{b}(x)=y$

Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,

            $b^{y}=a$

            $x^{2}=36$

When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as $\log _{6} 36=2$

Answer 2

Answer:D

Step-by-step explanation:

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