Multiple Choice
Solve the exponential equation.
9^8x = 27
(1 point)
Responses
5/8
3/16
9
16/3
To solve the exponential equation 9^(8x) = 27, we need to rewrite both sides of the equation with the same base. Since 9 and 27 both share 3 as a common factor, we can rewrite the equation as (3^2)^(8x) = 3^3. This simplifies to 3^(16x) = 3^3.
Now that the bases are the same, we can equate the exponents: 16x = 3.
Dividing both sides of the equation by 16 gives us:
x = 3/16.
Therefore, the correct answer is 3/16.