Question

Найти корень уравнения:
(1/4)^x-6 = 32^x+24

Answer 1

${(\frac{1}{4})}^{x-6}= {32}^{x+24}\\ {2}^{12-2x}={2}^{5x+120}\\ 12-2x=5x+120 \\ 7x=-108 \\ x=-\frac{108}{7}$

Answer 2

2^-2x+12=2^5x+120
-2x+12=5x+120
-2x-5x=120-12
-7x=108
x=-108/7