Find the value of $\log _ { b } 12$, given that $\log _ { b } 3 = 1.025$ and $\log _ { b } 4 = 1.294$.
A) $2.319$
B) $0.269$
C) $1.032$
D) $1.326$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, $\log_b 12$ can be rewritten as $\log_b (3 \times 4)$, which equals $\log_b 3 + \log_b 4$. Given $\log_b 3 = 1.025$ and $\log_b 4 = 1.294$, adding these gives $1.025 + 1.294 = 2.319$.

Find the Value Of log⁡b12\log _ { b } 12logb​12 , Given That

Find the Value Of $\log _ { b } 12$ , Given That