Solve 9²x + 1} = 81³x + 2}

Correct Answer is : −34\; -3/44−3

Correct Answer is : −34\; -3/44−3

Test Index

WAEC Further Mathematics 2011 Paper

Question : 16

Total: 40

Solve

9^{2x + 1} = 81^{3x + 2}

Solution:

$9^{2x + 1} = 81^{3x + 2}$

$9^{2x + 1} = (9^{2})^{3x + 2}$

$9^{2x + 1} = 9^{6x + 4}$

Equating powers,

$2x + 1 = 6x + 4 \implies -3 = 4x$

$\therefore x = \frac{-3}{4}$

Go to Question:

Prev Question

Next Question