Question

Resolva em IR as equações: A) 5^2x-1=1 B) 64^x=256 C) 25^x+2=125^x+5

Me ajudem

Answer 1

$a)~~~ 5^{2x-1}=1\to~~ \not5^{2x-1}=\not5^0 \to~~2x-1=0\to~~2x=1\to~~ \boxed{ x= \frac{1}{2} } \\\\\\\\ b)~~~64^x=256\to~~\not4^{3x}=\not4^4\to~~ 3x=4\to~~ \boxed{x= \frac{4}{3} }\\\\\\\\ c)~~~25^{x+2}=125^{x+5}\to~~ \not5^{2(x+2)}=\not5^{3(x+5)}\to~~2(x+2)=3(x+5)\to\\\\ 2x+4=3x+15\to~~ 2x-3x=15-4\to~~-x=11~(-1)\to\\\\ \boxed{x=-11 }$