Question

resolva as seguintes equações exponenciais: a) 2×=16; b)8×=16 c) 0,2×=625 d)3.0,25×=48

Answer 1

a)2^x = 16
2^x = 2^4
x = 4

b)8^8 = 16
(2³)^x = 2 ^4
2^3 x = 2^4
3 x =  4
x = 4/3

 c)0,2^x = 625
(2/10)^x = 5^4
(1/5)^x  = 5^4
(1/5)^x = (1/5)^-4
x = - 4

d)3. 0,25^x = 48
0,25^x = 48/3
0,25^x = 16
(25/100)^x = 16
 (1/4)^x = 4²
(1/4)^x = (1/4)^-2
x = - 2