change the logarithmic expression to an equivalent expression involving an exponent. 4^16=x

log (base4)16=x

is it x=e^2?

To change the logarithmic expression to an equivalent expression involving an exponent, you can use the property of logarithms that states "log base b of x equals y" is equivalent to "b raised to the power of y equals x."

In this case, we have the logarithmic expression log base 4 of 16 equals x. Using the property mentioned above, we can rewrite it as 4 raised to the power of x equals 16.

Therefore, the equivalent expression involving an exponent is 4^x = 16.

Now, let's determine if x = e^2. The number e is approximately 2.71828, which means e^2 is approximately 7.389. This value does not satisfy the equation 4^x = 16 because 4^x = 4^2 = 16.

Therefore, x does not equal e^2 in this case.