Question

Equação exponencial a) 8x=32 , b) 25x=625 , c) 9x=⅓ d) 2x=¹\³²

Answer 1

8^x=32
(2^3)^x=2^5
2^3x=2^5
3x=5
x=5/3


25^x=625
(5^2)^x=5^4
5^2x=5^4
2x=4
x=4/2
x=2

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


2^x=1/32
2^x=(32)^-1
2^x=(2^5)^-1
2^x=2^-5
x=-5