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Exercise

$3^{2x-6}=81$

Step-by-step Solution

Learn how to solve special products problems step by step online. Solve the exponential equation 3^(2x-6)=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 -6 from both sides of the equation. Canceling terms on both sides.
Solve the exponential equation 3^(2x-6)=81

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Final answer to the exercise

$x=5$

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