Question

Resolva as equações:

A) 4^x = 512
B) 9^x = 243
C) 3^x = 1/ 10
D) 3^x = ( raiz de 3)

Answer 1

Boa tarde Rafanickeloved

a)

4^x = 512

2^2x = 2^9

2x = 9
x = 9/2

b)

9^x = 243
3^2x = 3^5

2x = 5
x = 5/2

c) 

3^x = 1/10

x*log(3) = -log(10)
x*log(3) = -1

log(3) = 0.47712

x = -1/0.47712 = -2.096 

d)

3^x = 3^(1/2) 

x = 1/2