Question

rozwiaz rownanie

(0,25)^2x-1 = (√8)^x-4

Answer 1

 

 

 

 (1/2)^(2(2x-1)=(1/2)^(-3/2(x-4)

(1/2)^(4x-2)=(1/2)^(-3/2x+6)

4x-2=-1,5x+6

5,5x=8

x=80:55

x=16/11

 

√8= 2^(3/2)= (1/2)^-3/2

Answer 2

( 0,25 )^(2x -1) = p(8)^(x -4)

(1/4)^(2x - 1) = [ 2 p(2)]^( x - 4)

[ 2 ^(-2)]^(2x -1) =  [ 2^(3/2)]^( x - 4)

2^(- 4x + 2) = 2 ^(1,5 x - 6)

zatem

-4x + 2 = 1,5 x - 6

-5,5 x = - 8

x = 16/11

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