Question

Preciso dos cálculos e da faturação ​

Answer 1

Resposta:

Explicação passo-a-passo:

a) $2^{x} = 64$

64 | 2     64= 2.2.2.2.2.2 = $2^{6}$

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1

2^x = 2^6

x=6

b)  $7^{x} = 343$

343 | 7    343 = 7.7.7 = 7³

49 | 7

7 | 7

1

$7^{x} = 7^{3}$

x=3

c) $8^{x} = 32$

$2^{3x} = 2^{5}$

3x=5

x= 5/3

d) $25^{x} = 625$

$25^{x} = 25^{2}$

x=2

e) $9^{x} = \frac{1}{3}$

9 | 3   9=3.3=3²

3 | 3

1

$3^{2x} = 3^{-1}$

2x = -1

x= -1/2

f) $2^{x} = \frac{1}{128}$

128 | 2      128=2.2.2.2.2.2.2 = $2^{7}$

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1

$2^{x} = 2^{7}$

x=7

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

x= 1/2

h) $49^{x} = \sqrt[4]{7}$

$7^{2x} = 7^{\frac{1}{4} }$

2x = 1/4

x=2/4

x= 1/2

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

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

2x+1=-4

2x=-4-1

2x= -5

x= -5/2

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

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

x+4=4

x=4-4

x=0

k) $25^{x+2} = 1$

$25^{x+2} = 25^{0}$

x+2=0

x=-2