Solve the equation $$ \log _{6}(13-x)=1 $$ $$ x=\square $$ DONE

Question

UpStudy AI · Accepted Answer

To solve the equation $$ \log_{6}(13 - x) = 1 $$, follow these steps:

1. **Understand the logarithmic equation:**
   
   The equation $$ \log_{6}(13 - x) = 1 $$ means that $$ 6^1 = 13 - x $$.

2. **Rewrite the equation in exponential form:**
   
   $$
   6^1 = 13 - x
   $$
   
   Simplifying, we get:
   
   $$
   6 = 13 - x
   $$

3. **Solve for $$ x $$:**
   
   $$
   x = 13 - 6
   $$
   
   $$
   x = 7
   $$

**Answer:**
$$
x = 7
$$
$$ x = 7 $$

Solve the equation \( \log _{6}(13-x)=1 \) \( x=\square \) DONE