Final answer to the problem
$x=5$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
Rewrite the number $81$ as a power with base $3$ so that we have exponentials with the same base on both sides of the equation
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$3^{\left(x-1\right)}=3^{4}$
Learn how to solve problems step by step online. Solve the exponential equation 3^(x-1)=81. Rewrite the number 81 as a power with base 3 so that we have exponentials with the same base on both sides of the equation. If the bases are the same, then the exponents must be equal to each other. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -1 from both sides of the equation. Canceling terms on both sides.
Final answer to the problem
$x=5$
