Question

Find the value of x if 9^1/2 • 9^1/2 = x^√81

Answer 1

The value of x is 9.

Step-by-step explanation:

To find the value of x, we can simplify the expression on the left side of the equation. The product of two numbers with the same base can be found by adding their exponents. So, 9^(1/2) * 9^(1/2) = 9^(1/2 + 1/2) = 9^1 = 9. On the right side of the equation, x^√81 means that x is raised to the power of the square root of 81. The square root of 81 is 9, so x^√81 = x^9.

Therefore, we have 9 = x^9. To solve for x, we can take the ninth root of both sides of the equation. (∛9)^9 = (∛x)^9. This simplifies to 9 = x. So, the value of x is 9.

Answer 2

(√9)^2x-1/2 = 1/81

3^2x-1/2 = 1/(3)⁴. (as √9 = 3)

3^2x-1/2 = 3^-⁴. (as 1/a^m = a^-m)

as base are equal exponents are equal

so 3 gets cancelled out

2x-1/2 = -4

(4x-1)/2 = -4

4x-1 = -8

x = -7/4

hope this helps

Step-by-step explanation: