Question

Fernando’s wants to rewrite 3^5 =243 243 as a logarithmic equation. Which number should he use as the value?

Answer 1

To rewrite the exponential equation \(3^5 = 243\) as a logarithmic equation, you would use the base, the exponent, and the result. The general form of a logarithmic equation corresponding to the exponential equation \(a^b = c\) is \(\log_a(c) = b\).

In this case:

- \(a = 3\) (the base),
- \(b = 5\) (the exponent), and
- \(c = 243\) (the result).

Thus, you can rewrite \(3^5 = 243\) as a logarithmic equation:

\[
\log_3(243) = 5
\]

So, the number to use as the value in the logarithmic equation is **243**.