Find the logarithm of 144 to the base 2√3 ? (note: 2√3 = two root three)

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19 Dec 2019 Logarithm

Find the logarithm of 144 to the base 2√3 ?
(note: 2√3 = two root three)

OPtion

1) 5
2) 6
3) 7
4) 8
5) 4
6) 2√3
7) 4√3
8) 8√3
9) 10√3
10) None of these

Solution

144 = 12 x 12 = 4 x 3 x 4 x 3 = 2^4 x 3^2 = 2^4 x √3^4 = (2√3)^4

Logarithm 144 to the base 2√3 = Logarithm (2√3)^4 to the base 2√3
=> 4

Correct Option: 5 Best Solution (8)