Question

If 3 ^ 4x + 2 = 9 ^ 3x - 1 then x =​

Answer 1

Answer:

1

EXPLANATION:

$3 \times (4x + 2) = 9 \times (3x - 1) \\ 12x + 6 = 27x - 9 \\ 6 + 9 = 27x - 12 \\ 15 = 15x \\ x = 1$

Answer 2

Answer:

${3}^{4x + 2} = {9}^{3x - 1} \\ {3}^{4x + 2} = {3}^{2(3x - 1)} \\ {3}^{4x + 2} = {3}^{6x - 2} \\ when \: base \: are \: same \: power \: is \: equal \\ 4x + 2 = 6x - 2 \\ 6x - 4x = 2 + 2 \\ 2x = 4 \\ x = 4 \div 2 \\ x = 2$

hope this is helpful