Question

Pra amanhã me ajudem por favor

Answer 1

Resposta:

Explicação passo a passo:

vou escrever 2² assim 2^2

1

a.

2^x=16

2^x=2^4 [corta base]

x=4

b.

4^x=16

4^x=4^2

x=2

c.

3^x81

3^x=3^4

x=4

d.

5^x=125

5^x=5^3

x=3

e.

10^x=100000

10^x=10^5

x=5

f.

8^x=64

8^x=8^2

x=2

g.

2^x=32

2^x=2^5

x=5

h.

6^x=216

6^x=6^3

x=3

2.

a.

2^x=1/4

2^x (1/2)^2

2^x=2^-2

x=-2

b.

3^x=√3

3^x=3^1/2

x=1/2

c.

8^x=16

(2^3)^x=2^4

2^3x=2^4

3x=4

x=4/3

d.

4^x=128

(2^2)^x=2^7

2^2x=2^7

2x=7

x=7/2

e.

36^x=√6

(6^2)^x=6^1/2

6^2x=6^1/2

2x=1/2

x=1/2:2

x=1/2.1/2

x=1/4

f.

0,01=1/100=(1/10)^2=10^-2

10^x=0,01

10^x=10^-2

x=-2

g.

9^x=1/27

(3^2)^x=(1/3)^3

3^2x=3^-3

2x=-3

x=-3/2

h.

0,2=2/10=1/5=5^-1

∛25=∛5^2=5^2/3

0,2^x=∛25

(5^-1)^x=5^2/3

5^-x=5^2/3

-x=2/3 (-1)

x=-2/3

i.

1,25=125/100=5/4

0,64=64/100=16/25=(4/5)^2

1,25^x=0,64

(5/4)^x=(4/5)^2

(5/4)^x=(5/4)^-2

x=-2

j.

0,6=6/10=3/5

(5/3)^x=0,6

(5/3)^x=(3/5)^1

(5/3)^x=(5/3)^-1

x=-1