3 raised to what power is equal to 81?(1 point)

1 answer

To find what power 3 must be raised to in order to equal 81, we can express it as an equation:

\[ 3^x = 81 \]

We know that \( 81 \) can be expressed as a power of \( 3 \):

\[ 81 = 3^4 \]

So we can rewrite the equation:

\[ 3^x = 3^4 \]

Since the bases are the same, we can set the exponents equal to each other:

\[ x = 4 \]

Therefore, \( 3 \) raised to the power of \( 4 \) is equal to \( 81 \). The answer is \( 4 \).