Express as a single logarithm.
-$8 \log _ { b } 8 + 9 \log _ { b } 3$
A) $\log _ { \mathrm { b } } 88 \cdot \log _ { \mathrm { b } } 3 ^ { 9 }$
B) $\log _ { b } 883 ^ { 9 }$
C) $\log _ { b } ( 64 + 27 )$
D) $\log _ { b } \frac { 88 } { 3 ^ { 9 } }$

Question

Quizplus · Accepted Answer

The properties of logarithms allow us to simplify the expression as follows: $8 \log _ { b } 8 + 9 \log _ { b } 3 = \log _ { b } 8^8 + \log _ { b } 3^9 = \log _ { b } (8^8 \cdot 3^9) = \log _ { b } 883^9$.

Express as a Single Logarithm 8log⁡b8+9log⁡b38 \log _ { b } 8 + 9 \log _ { b } 38logb​8+9logb​3

Express as a Single Logarithm $8 \log _ { b } 8 + 9 \log _ { b } 3$