CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

(x±a)(x±b) = x²±(a+b)x+ab.

Solve for : 9...

Question

Solve for : 9×(81)^x=1÷27^x-2

Open in App

Solution

9×81^x = 1/27^x-3

3²×3^4x = (1/3)^3(x-3)

3^2+4x = 3^-[3(x-3)]

Bases are equal. Exponents must be equal.

2+4x = -(3x-9)

2+4x = -3x+9

4x+3x = 9-2

7x = 7

x = 7/7

x = 1

Therefore, the value of x is 1

Read more on Brainly.in - https://brainly.in/question/1221394#readmore

Suggest Corrections

thumbs-up

3

Similar questions

Q. Solve for x:

9 \times 81^{x} = 27^{2 - x}

9 \times 81^{x} = 27^{2 - x}

x : 81^{- 2} \div 729^{1 - x} = 9^{2 x}

Q. Solve for x :

3 (81)^{x} + 3 = 9^{x + 1} + 9^{x}

.

x

(81)^{\frac{3}{4}} - (\frac{1}{32})^{- \frac{2}{5}} + x (\frac{1}{2})^{- 1} . 2^{0} = 27

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

(x+a)(x+b)

MATHEMATICS

Watch in App

explore_more_icon

Explore more

(x±a)(x±b) = x²±(a+b)x+ab.

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon