Fernando wants to rewrite 35=243

Question

as a logarithmic equation. Which number should he use as the value?(1 point)
The value is
.
Incorrect

The solution to an exponential equation will become the value in the logarithmic equation.

Answer 1

To rewrite the equation \( 35 = 243 \) as a logarithmic equation, you need to express it in the form of \( \log_b(a) = c \).

In this case, for an exponential equation of the form \( b^c = a \), we can rewrite it as \( \log_b(a) = c \).

Here, \( b \) (the base) is 3, \( c \) (the exponent) is 5, and \( a \) (the result of the exponentiation) is 243. Therefore, we can identify the following:

• The base \( b \) is 3.
• The exponent \( c \) is 5.
• The result \( a \) is 243.

So the corresponding logarithmic equation is:

\[ \log_3(243) = 5 \]

Thus, Fernando should use the number 5 as the value when rewriting the equation.