Question

3^x - 2*6^x = 0 (__________)

Answer 1

$3^x-2*6^x=0$

$3^x=2*6^x$   │ : $6^x$

$frac{3^x}{6^x}=2$

$( frac{3}{6})^x=2$

$( frac{1}{2})^x=2$

$2^{-x} =2$

$-x=1$

$x=-1$

Answer 2

3^x - 2•6^x = 0
3^x•( 1 - 2•2^x ) = 0
3^x = 0
Нет решений
1 - 2•2^х = 0
2•2^х = 1
2^( Х + 1 ) = 2^0
Х + 1 = 0
Х = - 1