5ln(3x+8)=(14/5)

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Solution for 5ln(3x+8)=(14/5) equation: 


D( x )

3*x+8 <= 0

3*x+8 <= 0

3*x+8 <= 0

3*x+8 <= 0 // - 8

3*x <= -8 // : 3

x <= -8/3

x in (-8/3:+oo)

5*ln(3*x+8) = 14/5 // - 14/5

5*ln(3*x+8)-(14/5) = 0

5*ln(3*x+8)-14/5 = 0

5*ln(3*x+8)-14/5 = 0 // + 14/5

5*ln(3*x+8) = 14/5 // : 5

ln(3*x+8) = 14/5/5

ln(3*x+8) = 14/25

ln(3*x+8) = ln(e^(14/25))

3*x+8 = e^(14/25)

3*x-e^(14/25)+8 = 0 // - 8-e^(14/25)

3*x = -(8-e^(14/25)) // : 3

x = (-(8-e^(14/25)))/3

x = (e^(14/25)-8)/3

x = (e^(14/25)-8)/3

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