solve the exponential equation.
9^8x=27
To solve the exponential equation 9^(8x) = 27, we need to find the value of x.
First, let's simplify the equation by expressing 27 as a power of 9:
27 = 9^3
Substituting this into the equation, we have:
9^(8x) = 9^3
Since the base (9) is the same on both sides of the equation, we can equate the exponents:
8x = 3
Now, solve for x by dividing both sides by 8:
x = 3/8
Therefore, the solution to the equation is x = 3/8.