Question

a) 1 supra 2 totul in paranteza la x = 2 la x-2
b) 1 supra 3 la x = 9
c) 49 la x +2 = 7la xla2+ 5

Answer 1

$( \frac{1}{2})^x= 2^{x-2}$
$2^{-x}= 2^{x-2}$
[tex]-x=x-2 [/tex]
$-2x=-2$
$x=1$
b)$(\frac{1}{3})^x=9$
[tex]-x=2 [/tex]
$x=-2$
c)$49^{x+2}= 7^{ x^{2}+5 }$
[tex]2(x+2)= x^{2} +5 [/tex]
$x^{2} -2x+1=0$
$(x-1)^2=0$
$x=1$