log(25)(x/2)=1/2

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Solution for log(25)(x/2)=1/2 equation: 


D( x )

x/2 <= 0

x/2 <= 0

x/2 <= 0

1/2*x+0 <= 0 // - 0

1/2*x <= 0 // : 1/2

x <= 0/1/2

x <= 0

x in (0:+oo)

log(25)(x/2) = 1/2 // - 1/2

log(25)(x/2)-(1/2) = 0

log(25)(x/2)-1/2 = 0

log(25)(x/2)-1/2 = 0 // + 1/2

log(25)(x/2) = 1/2

log(25)(x/2) = log(25)(25^(1/2))

x/2 = 25^(1/2)

x/2-25^(1/2) = 0

1/2*x-5 = 0 // + 5

1/2*x = 5 // : 1/2

x = 5/1/2

x = 10

x = 10

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