Questions: log3(10x) = 5

Transcript text: $\log _{3} 10 x=5$

Solution

Step 1: Convert to Exponential Form

Starting with the equation $ \log_{3} (10x) = 5 $, we convert it to its exponential form: \[ 10x = 3^5 \]

Step 2: Calculate $3^5$

Next, we calculate $3^5$: \[ 3^5 = 243 \] Thus, we have: \[ 10x = 243 \]

Step 3: Solve for $x$

Now, we solve for $x$ by dividing both sides by 10: \[ x = \frac{243}{10} \]

$\boxed{x = \frac{243}{10}}$

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