passpadi

2018

Mathematics

67ca00ce0c643c71d77dee1f

Evaluate log2 8 – log3 1/9

A.

-11(1/2)

B.

-1

C.

1

D.

5

Correct Answer: 5

Explanation

log2 8 – log3 1/9 = log2 23 – log3 9−1 = log223 – log3 3−2 Based on law of logarithm = 3 log2 2 – (-2 log3 3) Butlog2 2 = 1, log3 3= 1 So, = 3 + 2 = 5

log2 8 – log3 1/9 = log2 23 – log3 9−1 = log223 – log3 3−2 Based on law of logarithm = 3 log2 2 – (-2 log3 3) Butlog2 2 = 1, log3 3= 1 So, = 3 + 2 = 5
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