Question

5^x+6-3^x+7=43*5^x+4-19*3^x+5

Answer 1

$5^{x+6} - 3^{x+7} = 43* 5^{x+4}-19* 3^{x+5}$

$19* 3^{x+5} - 3^{x+7}= 43* 5^{x+4} - 5^{x+6}$

$3^{x+5}(19- 3^{2}) = 5^{x+4}(43- 5^{2})$

$3^{x+4}*3*10= 5^{x+4}*18$    | : 3 и : 2

$3^{x+4}*5= 5^{x+4}*3$

$frac{ 3^{x+4} }{3}= frac{ 5^{x+4} }{5}$

$3^{x+3}= 5^{x+3}$

x+3 = 0

x = - 3