Home
Class 12
MATHS
Solve the equations for x and y:(3x)^(l...

Solve the equations for ` x and y:(3x)^(log3)=(4y)^(log 4), 4 ^(log x) = 3 ^(log y)`.

Text Solution

AI Generated Solution

To solve the equations \( (3x)^{\log 3} = (4y)^{\log 4} \) and \( 4^{\log x} = 3^{\log y} \), we will follow these steps: ### Step 1: Take logarithm of both sides of the first equation Starting with the first equation: \[ (3x)^{\log 3} = (4y)^{\log 4} \] Taking logarithm on both sides: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise Example 1.9|1 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise Example 1.10|1 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise Example 1.7|1 Videos
  • LOGARITHM AND ITS APPLICATIONS

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

    CENGAGE ENGLISH|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

Solve the equation for x : log4+(1+1/(2x))log3=log(3^(1/x)+27)

Solve the equation 2x^(log_(4)^(3))+3^(log_(4)^(x))=27

Solve for x : 3^(log x)-2^(log x) =2^(log x+1)-3^(log x-1)

Solve the following equations for x and y: log_10x+log_10(x)^(1/2)+log_10(x)^(1/4)+….=y (1+3+5+…+(2y-1))/(4+7+10+..+(3y+1))=20/(7log_10x)

Solve the following equations. (iii) 2.x^(log_(4)3)+3^(log_4x)=27

Solve the derivative of y=log 2x^3

Solve the differential equation x(dy)/(dx)=y(log y - log x +1) .

Solve the system of equations: (log)_a x(log)_a(x y z)=48(log)_a y log_a(x y z)=12 ,\ a >0,\ a!=1(log)_a z log_a(x y z)=84\

Solve the following equation for x\ &\ y :(log)_(100)|x+y|=1/2,(log)_(10)|x|=log_(100)4.

Solve the following equation of x :2(log)_x a+(log)_(a x)a+3(log)_(a^2x)a=0,a >0