Final answer:
To solve the equation, divide both sides by 9, take the logarithm of both sides, isolate x, and use a calculator to find the approximate value of x.
Step-by-step explanation:
We can solve the equation by isolating the variable x. Let's solve it step by step:
First, divide both sides of the equation by 9:
15^(1.7x - 8) = 32/9
Next, take the logarithm of both sides using base 15:
log15(15^(1.7x - 8)) = log15(32/9)
Applying the property of logarithms, we can bring down the exponent:
1.7x - 8 = log15(32/9)
Now, we can solve for x by isolating it:
1.7x = log15(32/9) + 8
x = (log15(32/9) + 8) / 1.7
Using a calculator, we can find the approximate value of x.
Make sure to double-check any solutions obtained and simplify as needed.
Learn more about Solving an equation