Question Solve the equation $3^{n}=81$ using the like bases property to find the value of $n$ .

Studdy Solution

STEP 1

Assumptions1. We are given the equation $3^{n}=81$ . . We need to solve for $n$ .
3. We can use the property of like bases to solve this equation.

STEP 2

First, we need to express81 as a power of. Since $^4 =81$ , we can rewrite the equation as $^{n}=^4$

STEP 3

Now, we can use the property of like bases. If $a^m = a^n$ , then $m = n$ . So, we can equate the exponents of the two sides of the equation.
$n =$ So, the solution to the equation $3^{n}=81$ is $n=$ .

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