Question

rozwiąż równania:

Answer 1

1)

Pierwiastek z 0,2 =  (1/5)^(1/2)

zatem mamy

(1/5)^(1/2) = [ 5^2]^x

[ 5 ^(-1)]^(1/2) = 5 ^(2x)

5^( -1/2) = 5^(2x)

-1/2 = 2x  / : 2

x = - 1/4 = - 0,25

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2)

4/3 ={ [ 8/27]^x} * 3  / : 3

4/9 = [ 8/27]^x

[2/3]^2 = [ (2/3)^3]^x

[2/3]^2 = [2/3]^(3x)

2 = 3x / : 3

2/3 = x

x = 2/3

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