Fernando wants to rewrite 35=243 as a logarithmic equation. Which number should he use as the value?(1 point) The value is

1 answer

To rewrite the equation \( 35 = 243 \) in logarithmic form, we consider the expression in terms of exponentiation. The standard form for such a conversion is:

\[ a = b^c \quad \text{is equivalent to} \quad \log_b(a) = c \]

In this case, we can interpret your equation as \( 243 = 35^x \) where \( x \) is the exponent we want to find. If we assume \( x \) can be interpreted in logarithmic form, we would rewrite it as:

\[ \log_{35}(243) = x \]

Thus, \( \log_{35}(243) \) represents the value in the logarithmic equation. If you're looking for a specific numerical value of \( x \), you can calculate it using a scientific calculator or logarithmic tables.

To summarize, the value Fernando should use is:

\[ \log_{35}(243) \]