If  3 x = 4 x - 1 ,   then   x =
(1)  2 log 3   2 2 log 3   2 - 1                           (2)  2 2 - log 2   3                 (3)  1 1 - log 4   3                     (4)  2 log 2   3 2 log 2   3 - 1

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Please find below the solution to the asked query:

We have3x=4x-13x=4x434x=14Take log with base 2 on both sideslog234x=log214xlog234=log22-2xlog243-1=-2log22-xlog243=-2log22xlog243=2log22xlog24-log23=2×1xlog222-log23=2x2-log23=2log22x=22-log23x=11-12log23x=11-log223x=11-log43Again x=22-log23Multiply and divide by log32x=2log322log32-log32.log23=2log322log32-log2log3.log3log2x=2log322log32-1

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  • 0
The correct options are A,B and C
Take log on both sides with base 2.
We get, x= 2/2-log23
Hence, option B is correct.
Take log on both sides with base 3
We get, x= log34 / log34-1 = log322 / log322-1 = 2 log32 / 2 log32 -1
Hence, option A is also correct.
Take log on both sides with base 4.
We get, x= 1/1-log43
​Hence, option C is also correct.
 
  • 1
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