$$\text { Given that } \log _ { a } 6 = 0.778 \text {, and } \log _ { a } 5 = 0.699 \text {, find } \log _ { a } 6 ^ { 2 } \text {. }$$
A) 0.544
B) 1.477
C) 0.605
D) 1.556

Question

Quizplus · Accepted Answer

Using the properties of logarithms, specifically the power rule which states that $\log_b(m^n) = n \cdot \log_b(m)$, we can find $\log_a 6^2$ by doubling $\log_a 6$. Thus, $\log_a 6^2 = 2 \cdot 0.778 = 1.556$.

Given that log⁡a6=0.778, and log⁡a5=0.699, find log⁡a62. \text { Given that } \log _ { a } 6 = 0.778 \text {, and } \log _ { a } 5 = 0.699 \text {, find } \log _ { a } 6 ^ { 2 } \text {. } Given that loga​6=0.778, and loga​5=0.699, find loga​62.

$\text { Given that } \log _ { a } 6 = 0.778 \text {, and } \log _ { a } 5 = 0.699 \text {, find } \log _ { a } 6 ^ { 2 } \text {. }$