power property:$log_{b} x^{r} = rlog_{b} x$evaluate $log_{3} 8$, given $log_{3} 2 approx 0.631$.$log_{3} 8 =…

power property:$log_{b} x^{r} = rlog_{b} x$evaluate $log_{3} 8$, given $log_{3} 2 approx 0.631$.$log_{3} 8 = square$

power property:$log_{b} x^{r} = rlog_{b} x$evaluate $log_{3} 8$, given $log_{3} 2 approx 0.631$.$log_{3} 8 = square$

Answer

Explanation:

Step1: Rewrite 8 as a power of 2

$\log_{3}8 = \log_{3}2^3$

Step2: Apply the logarithm power property

$\log_{3}2^3 = 3\log_{3}2$

Step3: Substitute the given value

$3\log_{3}2 \approx 3 \times 0.631$

Step4: Calculate the final value

$3 \times 0.631 = 1.893$

Answer:

1.893