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 \( 35 = 243 \) as a logarithmic equation, we can express it in the form of \( b^y = x \) which translates to \( \log_b(x) = y \).

In this case:

  • The base \( b \) is \( 35 \)
  • The result \( x \) is \( 243 \)
  • The exponent \( y \) is \( 1 \) (since \( 35^1 = 35 \))

Therefore, the logarithmic form of the equation \( 35 = 243 \) does not quite seem right as there’s no direct logarithmic equation for this form. However, if it is intended to express it as \( 35^y = 243 \) and find \( y \), we express it as:

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

So, to answer the question, the number that Fernando should use as the value in logarithmic terms is \( 243 \).

\[ \text{The value is } 243. \]