ln((5^3x-1)/2)

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Solution for ln((5^3x-1)/2) equation:


D( x )

(5^3*x-1)/2 <= 0

(5^3*x-1)/2 <= 0

(5^3*x-1)/2 <= 0

(125*x-1)/2 <= 0

( 125*x-1 )

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

125*x <= 1 // : 125

x <= 1/125

( 2 )

2 <= 0

x belongs to the empty set

(-oo:1/125) (1/125:+oo) 125*x-1 - + 2 + +

x in (1/125:+oo)

ln((5^3*x-1)/2) = 0

ln((5^3*x-1)/2) = ln(e^0)

(5^3*x-1)/2 = e^0

(5^3*x-1)/2-e^0 = 0

(125*x-1)/2-1 = 0

(125*x-1)/2+(-1*2)/2 = 0

125*x-1*2-1 = 0

125*x-3 = 0

(125*x-3)/2 = 0

(125*x-3)/2 = 0 // * 2

125*x-3 = 0

125*x-3 = 0 // + 3

125*x = 3 // : 125

x = 3/125

x = 3/125

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