Solve the following logarithmic equation. Be sure to reject any value of that is not in the domain of the
original logarithmic expression. Give the exact answer.

Rewrite the given equation without logarithms. Do not solve for .
(Do not simplify.)

Ask by Bond Lambert. in the United States

Mar 31,2025

Question

Solve the following logarithmic equation. Be sure to reject any value of that is not in the domain of the
original logarithmic expression. Give the exact answer.

Rewrite the given equation without logarithms. Do not solve for .
(Do not simplify.)

Ask by Bond Lambert. in the United States

Mar 31,2025

UpStudy AI · Accepted Answer

1. Recall the definition of a logarithm:  
   Given $$ \log_{b} a = c $$ it follows that $$ a = b^c $$.

2. Rewrite the equation $$ \log_{2} x = 2 $$ without logarithms using the definition:  
   $$
   x = 2^2
   $$

3. Note that this expression is the exact answer without further simplification and is valid provided that $$ x > 0 $$.
$$ x = 2^2 $$