Use the change of base rule to find the logarithm to four decimal places.
-$$\log _ { 3 } 0.68$$
A) -0.3510
B) -0.7020
C) 0.3510
D) -2.8486

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), the calculation is $\log_3 0.68 = \frac{\log 0.68}{\log 3}$. Plugging these values into a calculator gives approximately -0.3510.

Use the Change of Base Rule to Find the Logarithm log⁡30.68\log _ { 3 } 0.68log3​0.68

Use the Change of Base Rule to Find the Logarithm $\log _ { 3 } 0.68$