1/log(base2)100 -1/log(base4)100 +1/log(base5)100 | Quantitative Aptitude - Algebra - Logarithms
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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Geometry– Triangles – A triangle ABC has area 32 sq units …. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:
CAT 2018 – Slot 2 - Logarithms - Question 4 - 1/log(base2)100 -1/log(base4)100 +1/log(base5)100
Q. 4:1/log(base2)100 -1/log(base4)100 +1/log(base5)100 -1/log(base10)100 +1/log(base20)100 -1/log(base25)100 +1/log(base50)100 —?
1. 1/2
2. 0
3. 10
4. −4
Using log(basea)b = 1/log(baseb)a
1/log(base2)100 -1/log(base4)100 +1/log(base5)100 -1/log(base10)100 +1/log(base20)100 -1/log(base25)100 +1/log(base50)100
= log(base100)2- log(base100)4+ log(base100)5-log(base100)10+ log(base100)20-log(base100)25+log(base100)50
=log(base100) (2×5×20×50)/(4×10×25)
=log(base(10^2 ))10=1/2
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