Question

you might need: calculator evaluate the logarithm. round your answer to the nearest thousandth. $2log_{6}(33)\approx\square$

Explanation:

Step1: Apply change of base formula

$\log_{6}(33) = \frac{\log(33)}{\log(6)}$

Step2: Calculate log values

$\log(33) \approx 1.5185$, $\log(6) \approx 0.7782$

Step3: Compute the ratio

$\frac{1.5185}{0.7782} \approx 1.9513$

Step4: Multiply by 2

$2 \times 1.9513 = 3.9026$

Step5: Round to thousandth

Round 3.9026 to 3.903

Answer:

3.903