Evaluate the given logarithm by applying the appropriate rule(s). DO NOT USE A CALCULATOR.
-Given $\log _{10} 2=0.3010$ and $\log _{10} 3=0.4771$, evaluate $\log _{10} 24$.
A) 1.3801
B) 1.7323
C) 0.5044
D) 0.4308

Question

Quizplus · Accepted Answer

$\log _{10} 24$ can be rewritten as $\log _{10} (8 \times 3)$ or $\log _{10} (2^3 \times 3)$. Using the logarithm properties, this becomes $3\log _{10} 2 + \log _{10} 3$. Substituting the given values, we get $3(0.3010) + 0.4771 = 0.9030 + 0.4771 = 1.3801$.

Evaluate the Given Logarithm by Applying the Appropriate Rule(s) log⁡102=0.3010\log _{10} 2=0.3010log10​2=0.3010

Evaluate the Given Logarithm by Applying the Appropriate Rule(s) $\log _{10} 2=0.3010$