Solve for x. (Round your answer to three decimal places.)

log7 x = 1/2

x=

if your base is 7 than x is 7^1/2, the square root of 7

To solve for x, we need to rewrite the logarithmic equation in exponential form. The logarithmic equation log7 x = 1/2 can be expressed as an exponential equation as follows:

7^(1/2) = x

Now, we can evaluate the right side of the equation:

7^(1/2) ≈ 2.646

Therefore, the value of x, rounded to three decimal places, is approximately 2.646.