Home
Class 12
MATHS
Which of the following equation (s) has ...

Which of the following equation (s) has (have) only unity as the solution.
(A) `2(3^(x+1))-6(3^(x-1))-3^(x)=9`
(B) `7(3^(x+1))-5^(x+2)=3^(x+4)-5^(x+4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BASIC MATHS

    ALLEN|Exercise Do yourself -1 :|4 Videos
  • BASIC MATHS

    ALLEN|Exercise Do yourself -2 :|4 Videos
  • BASIC MATHS

    ALLEN|Exercise Exercise(O-1)|15 Videos
  • APPLICATION OF DERIVATIVES

    ALLEN|Exercise All Questions|1 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Solve the following equations and verify the results. 4x-[2x-((3x-7))/5]=2x+1

Solve each of the following equations and also check your result in each case: (3a-2)/3+(2a+3)/2=a+7/6 (2) x-((x-1))/2=1-((x-2))/3 (3) x/4-((x-1))/2=((x-2))/3 (4) (5x)/3-((x-1))/4=((x-3))/5

Knowledge Check

  • Which of the following is a solutions to the equation 4x^(5)+4x^(3)=360x ? (Note: i=sqrt(-1) )

    A
    `-10`
    B
    `isqrt(10)`
    C
    `10i`
    D
    `sqrt(10)`
  • Similar Questions

    Explore conceptually related problems

    Solve each of the following equations and also check your result in each case: ((45-2x))/(15)-((4x+10))/5=((15-14 x))/9 5((7x+5)/3)-(23)/3=13-(4x-2)/3 (7x-1)/4-1/3\ (2x-(1-x)/2)=(10)/3 (0. 5(x-0. 4))/(0. 42\ )-(0. 6(x-2. 71))/(0. 42)=x+6. 1

    Find which of the following equations are quadratic : (i) (3x-1)^(2)=5(x+8) (ii) 5x^(2)-8x=-3(7-2x) (iii) (x-4)(3x+1)=(3x-1)(x+2) (iv) x^(2)+5x-5=(x-3)^(2) (v) 7x^(3)-2x^(2)+10=(2x-5)^(2) (vi) (x-1)^(2)+(x+2)^(2)+3(x+1)=0

    Solve the following equations x^5 -5x^4 +9x^3 -9x^2 +5x -1=0

    Solve the following equations and also check your result in each case: (i) ((3x+1))/(16)+((2x-3))/7=((x+3))/8+((3x-1))/(14) (ii) ((1-2x))/7-((2-3x))/8=3/2+x/4 (iii) (9x+7)/2-\ (x-(x-2)/7)=36 (iv) 0. 18\ (5x-4)=\ 0. 5 x+0. 8

    Which of the following are quadratic equations? 3x^2-5x+9=x^2-7x+3 (ii) x+1/x=1 (iii) x^2-3x=0

    Solve each of the following equations and also check your result in each case: 1) 1/2x+7x-6=7x+1/4 2) 3/4x+4x=7/8+6x-6 3) 7/2x-5/2x=(20)/3x+10 (4) (6x+1)/2+1=(7x-3)/3

    Solve each of the following equation. Also, verify the result in each case. 1. ((5x-1))/3-((2x-2))/3=1 2. 0. 6 x+4/5=0. 28 x+1. 16 3. 0. 5 x+x/3=0. 25 x+7