resolva em r as seguintes equações exponenciais:
a)8^x=16
b)27^x=9
c)4^x=32
d)25^x=625
e)9^x=1/27
f)4^x=1/2
g)(1/25)^x=125
h)(1/4)^x=1/8
2³˟ = 2⁴
3x=4
x = 4/3
3³˟ = 3²
3x=2
x=2/3
2²˟ = 2⁵
2x=5
x = 5/2
25˟ = 25²
x=2
(3²)˟ = 1/3³
3²˟ = 3⁻³
2x= -3
x = -3/2
2²˟ = 2⁻¹
2x=-1
x= -1/2
(1/25)˟ = 5³
(1/5²)˟ = 5³
(5⁻²)˟ = 5³
5⁻²˟ = 5³
-2x=3
(1/4)˟ = 1/8
(1/2)²˟ = (1/2)³
2x=3
x = 3/2
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Verified answer
a)8^x=16
2³˟ = 2⁴
3x=4
x = 4/3
b)27^x=9
3³˟ = 3²
3x=2
x=2/3
c)4^x=32
2²˟ = 2⁵
2x=5
x = 5/2
d)25^x=625
25˟ = 25²
x=2
e)9^x=1/27
(3²)˟ = 1/3³
3²˟ = 3⁻³
2x= -3
x = -3/2
f)4^x=1/2
2²˟ = 2⁻¹
2x=-1
x= -1/2
g)(1/25)^x=125
(1/25)˟ = 5³
(1/5²)˟ = 5³
(5⁻²)˟ = 5³
5⁻²˟ = 5³
-2x=3
x = -3/2
h)(1/4)^x=1/8
(1/4)˟ = 1/8
(1/2)²˟ = (1/2)³
2x=3
x = 3/2