Question

Condense to a single logarithm : log 12 18+3 log 12 2

Answer 1

Answer:

2 or $\log_{12} 144$

Step-by-step explanation:

I assume 12 is the base.

$\log_{12} 18 + 3 \log_{12} 2 =$

$= \log_{12} 18 + \log_{12} 2^3$

$= \log_{12} (18 \times 8)$

$= \log_{12} 144$

$= \log_{12} 12^2$

$= 2\log_{12} 12$

$= 2$

The entire expression simplifies to 2, but if you need the simplest log expression, then you can use

$\log_{12} 144$