Home
Class 12
MATHS
Solve for x: 11^(4x-5)*3^(2x)=5^(3-x) * ...

Solve for x:` 11^(4x-5)*3^(2x)=5^(3-x) * 7^(-x)`.

Text Solution

Verified by Experts

`11^(4x-5)*3^(2x)= 5^(3-x) * 7^(-x)*`
` or (4x-5)log 11+2xlog3 = (3-x)log 5-x log 7`
` or x= log(11^(5) xx 5^(3))/(log(11^(4) xx 315))`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.1|6 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.2|9 Videos
  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE|Exercise Subjective Type|9 Videos
  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos

Similar Questions

Explore conceptually related problems

Solve for x : 7x-(4x-3)=2x-5

Solve for x : 4/x -3 = 5/(2x) + 3

Solve for x : 3x + 5 gt 7

Solve for x, (4x+3)/5-((2x-1)/3)=7x+1/2

Solve 7*3^(x+1)-5^(x+3)=3^(x+1)-5^(x+2) .

Solve for x : (3x -2)/(5x + 7) = (1)/(12)

Solve for x and y: 4/x+5y=7,3/x+4y=5

Solve for x : 2/5 (4x-1)-[4x-((1-3x)/2)]=(x-7)/2

Solve for x:(3x+2)/(7)+(4(x+1))/(5)=(2)/(3)(x+1)