Question

ПОМОГИТЕ СТЕПЕНИ
$3^{3+4x} = 1,5* 2^{3+4x}$

Answer 1

3³⁺⁴ˣ=1,5*2³⁺⁴ˣ
3³*3⁴ˣ=1,5*2³*2⁴ˣ
3⁴ˣ/2⁴ˣ=3*4/27
(3/2)⁴ˣ=4/9=2²/3²=(2/3)²=(3/2)⁻²
4x=-2
x=-2/4=-1/2

Answer 2

$3^{3+4x}=1,5cdot2^{3+4x}\\ 3+4x=t\\ 3^t=1,5cdot2^t\\ frac{3^t}{2^t}=1,5\\ (frac{3}{2})^t= (frac{3}{2})^1\\ t=1\\ 3+4x=1\\ 4x=-2\\ x=- frac{2}{4}\\ x=- frac{1}{2}$

Ответ: $x=- frac{1}{2}$