Answer:
below
Explanation:
Step 1: Simplify the exponents
3n-1 × 3n+1 = 3(3n) × 3(3n) = 3^(2n) = 9^n
Step 2: Substitute the simplified expression back into the equation
3n-1 + 9^n - 3n = 2/3
Step 3: Combine like terms
(3n - 3n) + 9^n = 2/3
Step 4: Simplify further
0 + 9^n = 2/3
Step 5: Divide both sides by 9^n
9^n = 2/3
Step 6: Take the logarithm of both sides
n log 9 = log (2/3)
Step 7: Divide both sides by log 9
n = log (2/3) / log 9
Step 8: Use a calculator to find the numerical value of n
n ≈ -0.463