Solve the problem.
-Use $\log _ { b } 3 \approx 0.319$, use the properties of logarithms to approximate the following. Do not use a calcu $\log _ { b } 81$
A) $4.319$
B) $1.276$
C) $- 3.681$
D) $0.08$

Question

Quizplus · Accepted Answer

Given $\log_b 3 \approx 0.319$, to find $\log_b 81$, recognize that $81 = 3^4$. Using the property of logarithms that $\log_b a^n = n \log_b a$, we have $\log_b 81 = \log_b 3^4 = 4 \log_b 3 = 4(0.319) = 1.276$.

Solve the Problem log⁡b3≈0.319\log _ { b } 3 \approx 0.319logb​3≈0.319

Solve the Problem $\log _ { b } 3 \approx 0.319$