Question

1) RESOLVA AS FUNÇÕES EXPONENCIAIS

A) 2$^{3X-2}$ + 64$^{X+2}$

B) 7$^{X+3}$ = 49$^{2(X-3)}$

Answer 1

$a)\\2^{3x-2}=64^{x+2}\\2^{3x-2}=(2^{6})^{x+2}\\2^{3x-2}=2^{6x+12}\\\\3x-2=6x+12\\3x-6x=12+2\\-3x=14\\x=-\frac{14}{3} \\\\\\b)\\\\7^{x+3}=49^{2(x-3)}\\7^{x+3}=(7^{2})^{2(x-3)}\\7^{x+3}=7^{4(x-3)}\\7^{x+3}=7^{4x-12}\\\\x+3=4x-12\\x-4x=-12-3\\-3x=-15\\x=5$

Espero ter ajudado :)