Use the change of base rule to find the logarithm to four decimal places.
-$\log _ { 6.6 } 210$
A) $0.3529$
B) $31.8182$
C) $2.8336$
D) $2.3222$

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 logarithm (base 10) for convenience, we get $\log_{6.6} 210 = \frac{\log_{10} 210}{\log_{10} 6.6}$. Calculating this gives approximately $2.8336$.

Use the Change of Base Rule to Find the Logarithm log⁡6.6210\log _ { 6.6 } 210log6.6​210

Use the Change of Base Rule to Find the Logarithm $\log _ { 6.6 } 210$