Question

resolva as equações abaixo:

a) x
64 = 256

b) x+2 x+5
25 = 125

c) 2x-1
5 = 1 ​

Answer 1

64^x = 256

4^3x = 4^4

3x=4

x=4/3

25^x+2 = 125^x+5

5^2(x+2) = 5^3(x+5)

2(x+2) = 3(x+5)

2x+4 = 3x+15

2x-3x=15-4

-x = 11

x = -11

5^2x-1 = 1

5^2x-1 = 5^0

2x-1=0

2x=1

x = 1/2