Question

To solve the equation 9(x-1) /4 = √9 by expressing each side as a power of the same base and then equating exponents, you can follow these steps: Step 1: Express the square root of 9 as a power of the same base: √9 =9¹/² Step 2: Rewrite the equation with the bases on both sides being the same: 9(x-1)/4 = 9¹/² Step 3: Now, equate the exponents: 9(x−1)=4⋅9¹/² You can continue to solve for x from this point.

Answer 1

To solve the equation 9(x-1) /4 = √9, express each side as a power of the same base and equate exponents.

Step-by-step explanation:

To solve the equation
`9(x-1) /4 = √9`each side as a power of the same base and then equating exponents, you can follow these steps:

1. Step 1: Express the square root of 9 as a power of the same base: √9 = 9¹/²
2. Step 2: Rewrite the equation with the bases on both sides being the same: 9(x-1)/4 = 9¹/²
3. Step 3: Now, equate the exponents: 9(x−1)=4⋅9¹/²

You can continue to solve for x from this point.