Question

Dale dale família espero que alguém me ajude nisso xD

Answer 1

Resposta:

karaigugkmcnckckieoofc

Answer 2

Resposta sobre equações exponenciais:

Vamos lá!

Resolva as seguintes equações exponenciais:

Letra a

$3^{x-5} =27^{1-x} \\\\3^{x-5} =3^{3} ^{(1-x)}\\\\{x-5} ={3} {(1-x)}\\\\x-5 =3-3x\\\\x+3x=3+5\\\\4x=8\\\\x=8/4\\\\x=2$

Letra b

$10^{1-x}=\dfrac{1}{10} \\\\10^{1-x}=10^{-1} \\\\{1-x}={-1} \\\\-x=-1-1.(-1)\\\\x=2$

Letra c

$9^{x-2} =\sqrt{27} \\\\3^{2} ^{(x-2)} =27^{\frac{1}{2} } \\\\3^{2x-4} =3^{3.}^{\frac{1}{2} } \\\\2x-4=\dfrac{3}{2}\\\\2x=\dfrac{3}{2} +4\\\\2x=\dfrac{3+8}{2}\\\\2x=\dfrac{11}{2}\\\\x=\dfrac{11}{4}$

Letra d

$5^{2x-1} =1\\\\2x=1\\\\x=\dfrac{1}{2}$

Letra e

$(\dfrac{2}{5} )^{x-1} =\dfrac{125}{8} \\\\(\dfrac{5}{2} )^{-(x-1)} =\dfrac{5^{3} }{2^{3} }\\\\x+1=3:(-3)} \\\\x=-1-1\\\\x=-2$

Letra f

$(\dfrac{1}{2} )^{x} =\sqrt[3]{4} \\\\2^{-x} =4^{\frac{1}{3} } \\\\2^{-x} =2^{2} ^{\frac{1}{3} } \\\\-x=\dfrac{2}{3} .(-1)\\\\x=-\dfrac{2}{3}$

Letra g

$10^{1-4x} =0,001\\\\10^{1-4x} =10^{-3} \\\\1-4x=-3\\\\-4x=-3-1\\\\x=\dfrac{-4}{-4} \\\\x=1$

Letra h

$2.(\dfrac{1}{4} )^{2x-3} =4\\\\2.(\dfrac{1}{4}) ^{(2x-3)} =(\dfrac{1}{4} )^{-1} \\\\2.(2x-3)=-1\\\\4x-6=-1\\\\4x=-1+6\\\\x=\dfrac{5}{4}$

Bons estudos!!!

Prof Alexandre