Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places
-$\log _ { 0.4 } 17$
A) $- 3.0920$
B) $- 0.3234$
C) $0.8325$
D) $1.6284$

Question

Quizplus · Accepted Answer

To evaluate $\log _ { 0.4 } 17$, we can use the change of base formula: $\log _ { a } b = \frac{\log _ { c } b}{\log _ { c } a}$, where $c$ can be any positive value different from 1 (commonly 10 for common logarithms or $e$ for natural logarithms). Using a calculator with base 10 or $e$, we find $\log _ { 0.4 } 17 = \frac{\log _ { 10 } 17}{\log _ { 10 } 0.4}$ or $\frac{\ln 17}{\ln 0.4}$, which approximately equals $-3.0920$.

Use Common Logarithms or Natural Logarithms and a Calculator to Evaluate