3^(2(x-1))-8(3^(x-2))-1=0
You asked:
Solve the equation \({3}^{2 \left(x - 1\right)} - 8 \cdot {3}^{x - 2} - 1 = 0\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = \frac{\log{\left(9 \right)}}{\log{\left(3 \right)}} \approx 2.0\]