Question

ПРОСТЕЙШИЕ ПОКАЗАТЕЛЬНЫЕ ЛОГОРИФМИЧЕСКИЕ УРАВНЕНИЯ:

А)4^x-1=32

Б)27^x=1/3

Answer 1

A) 4^(x-1) = 32

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

2^(2(x-1)) = 2^5

2(x-1) = 5

2x-2 = 5

2x = 7

x = 3.5

 

Б)27^x = 1/3

3^3x = 3^(-1)

3x = -1

x = -1/3

Answer 2

4^x =33

x = log_4(33)

 

4 ^(x-1) = 2^5

2x -2 =5

2x = 7

x =3.5

 

27^x  = 3^-1

3^3x = 3^ -1

3x = -1

x = -1/3