Home
Class 12
MATHS
Solve log(6) 9-log(9) 27 + log(8)x = log...

Solve `log_(6) 9-log_(9) 27 + log_(8)x = log_(64) x - log_(6) 4`..

Text Solution

Verified by Experts

The correct Answer is:
` x = 1/8`

`(log_(6)9+log _(6)4)-(log_(3)27)/(log_(3) 9) =(log_(8) x)/2 - log_(8) x`
` rArr 2 - 3/2 =- 1/2 log_(8) x`
` or 1/2 =- 1/2 log_(8) x`
` or x =1/8`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Exercise 1.5|13 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Exercise 1.6|6 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Exercise 1.3|16 Videos
  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE PUBLICATION|Exercise Subjective Type|9 Videos
  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

Solve (log_(3)x)(log_(5)9)- log_x 25 + log_(3) 2 = log_(3) 54 .

Solve for x: log_(4) log_(3) log_(2) x = 0 .

Solve : (ii) log_(x)2log_(x/16)2 = log_(x/64)2 .

Solve 2 log_(3) x - 4 log_(x) 27 le 5 .

Solve : log_(8)x+log_(4)x+log_(2)x=11

Calculate : log_(3)4 xx log_(4)5 xx log_(5)6 xx log_(6)7 xx log_(7)3

Solve : log_(2)log_(2)log_(2)x=-1

Solve (log)_x2(log)_(2x)2=(log)_(4x)2.

Prove the following identities: (a) (log_(a) n)/(log_(ab) n) = 1+ log_(a) b" "(b) log_(ab) x = (log_(a) x log_(b) x)/(log_(a) x + log_(b) x) .

Solve log_(4)(x-1)=log_(2)(x-3)