Evaluate the logarithm $\log _ { 7 } 126$ using the change of base formula. Round to 3 decimal places.
A) $4.836$
B) $0.402$
C) $2.485$
D) $9.411$
E) $2.100$

Question

Quizplus · Accepted Answer

The change of base formula is $\log_b a = \frac{\log_c a}{\log_c b}$, where $c$ can be any positive value different from 1. Using the common base of 10, we get $\log_7 126 = \frac{\log_{10} 126}{\log_{10} 7}$. Calculating this gives approximately $2.485$.

Evaluate the Logarithm log⁡7126\log _ { 7 } 126log7​126 Using the Change of Base Formula

Evaluate the Logarithm $\log _ { 7 } 126$ Using the Change of Base Formula