Question

questões de matemática, me ajudem!!
(50 pontos)​

Answer 1

Explicação passo-a-passo:

$a)( \frac{2}{3} ) {}^{x} = ( \frac{8}{27} )$

$( \frac{2}{3} ) {}^{x} = ( \frac{2}{3} ) {}^{3}$

$x = 3$

$b)( \frac{9}{25} ) {}^{2x} = ( \frac{3}{5} )$

$(( \frac{3}{5} ) {}^{2} ) {}^{2x} = ( \frac{3}{5} )$

$( \frac{3}{5} ) {}^{4x} = ( \frac{3}{5} ) {}^{1}$

$4x = 1 \\ x = \frac{1}{4}$

$c)5 {}^{x} = \sqrt{5 {}^{1} }$

$5 {}^{x} = 5 {}^{ \frac{1}{2} }$

$x = \frac{1}{2}$

$49 {}^{x} = \sqrt{7}$

$(7 {}^{2} ) {}^{x} = 7 {}^{ \frac{1}{2} }$

$2x = \frac{1}{2}$

$x = \frac{1}{2} \div 2 = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$

$e)2 {}^{x + 4} = 16$

$2 {}^{x + 4} = 2 {}^{4}$

$x + 4 = 4 \\ x = 4 - 4 \\ x = 0$

$f)5 {}^{2x + 1} = \frac{1}{625}$

$5 {}^{2x + 1} = 5 {}^{ - 4}$

$2x + 1 = - 4 \\ 2x = - 4 - 1 \\ 2x = - 5 \\ x = \frac{ - 5}{2}$

$x = \frac{1}{4}$

Answer 2

Resposta:

a)

(2/3)^x=(2/3)³

x=3

b)

(3/5)^4x=(3/5)¹

x=1/4

c)

5^x=5^4/2

x=4/2=2

d)

7^(2x)=7^(1/2)

2x=1/2

x=1/4