log 2 =  x, log 3 = y, then log 6 is

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ISRO VSSC Technical Assistant Electronics 2018 Official Paper
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  1. x - y
  2. xy
  3. x + y
  4. x/y

Answer (Detailed Solution Below)

Option 3 : x + y
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Detailed Solution

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Given:

log 2 =  x, log 3 = y

Concept:

Properties of Logarithms:

  1. logaa=1
  2. loga(x.y)=logax+logay
  3. loga(xy)=logaxlogay
  4. loga(1x)=logax
  5. logaxp=plogax
  6. loga(x)=logb(x)logb(a)

Calculation:

log 6 = log (2 x 3)

From 2nd property of logarithms

log 6 = log 2 + log 3

log 6 = x + y

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