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DaniilM [7]
3 years ago
10

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

Mathematics
1 answer:
Over [174]3 years ago
8 0

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

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