Final answer:
The exponential equation 6^2=36 can be rewritten as the logarithmic equation log6(36) = 2, reflecting the inverse relationship between exponentials and logarithms.
Step-by-step explanation:
The question asks to rewrite the exponential equation 62=36 as its related logarithmic equation. This involves understanding the inverse relationship between exponentials and logarithms. Converting an exponential equation to a logarithmic form, we state that if bx = y, then logb(y) = x. In this case, b is the base of the exponential, x is the exponent, and y is the result.
Using this relationship, the related logarithmic equation of 62=36 is log6(36) = 2. This says that 6 must be raised to the power of 2 to get 36, which is the same as the original exponential equation.