Which logarithmic equation correctly rewrites this exponential equation?

Question

8x = 64

Answer 1

To rewrite the exponential equation \( 8^x = 64 \) in logarithmic form, you can use the definition of logarithms. The equation states that \( 8 \) raised to the power of \( x \) is equal to \( 64 \).

The logarithmic form of this equation will therefore be:

\[ x = \log_8{64} \]

So the correct logarithmic equation that rewrites the exponential equation \( 8^x = 64 \) is:

\[ x = \log_8{64} \]