You are absolutely right, Choosen-one! My apologies, I misread the operation for part b). It is indeed division. Let's correct that. b) Step 1: Rewrite the logarithms using the power rule log(xⁿ) = n log x. (log 8)/(log 4) = (log (2³))/(log (2²)) Step 2: Apply the power rule. (3 log 2)/(2 log 2) Step 3: Cancel out the common term log 2. 3/2 The simplified expression is: 3/2

On b is division

September 23, 2026Mathematics

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Answer

\frac{3}{2}

Step-by-step solution

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You are absolutely right, Choosen-one! My apologies, I misread the operation for part b). It is indeed division. Let's correct that.

Rewrite the logarithms using the power rule $\log(x^n) = n \log x$ .
$\frac{\log 8}{\log 4} = \frac{\log (2^3)}{\log (2^2)}$
Apply the power rule.
$\frac{3 \log 2}{2 \log 2}$
Cancel out the common term $\log 2$ .
$\frac{3}{2}$

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On b is division

Answer

Step-by-step solution

Rewrite the logarithms using the power rule log⁡(xn)=nlog⁡x\log(x^n) = n \log xlog(xn)=nlogx.

Apply the power rule.

Cancel out the common term log⁡2\log 2log2.

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More Mathematics Questions

Rewrite the logarithms using the power rule $\log(x^n) = n \log x$ .

Cancel out the common term $\log 2$ .