(ln(x)-6)/(ln(x)-5)=5

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Solution for (ln(x)-6)/(ln(x)-5)=5 equation:


D( x )

ln(x)-5 = 0

x <= 0

ln(x)-5 = 0

ln(x)-5 = 0

ln(x)-5 = 0 // + 5

ln(x) = 5

ln(x) = ln(e^5)

x = e^5

x <= 0

x in (0:e^5) U (e^5:+oo)

(ln(x)-6)/(ln(x)-5) = 5 // - 5

(ln(x)-6)/(ln(x)-5)-5 = 0

k_1 = ln(x)

(k_1-6)/(k_1-5)-5 = 0

(k_1-6)/(k_1-5)+(-5*(k_1-5))/(k_1-5) = 0

k_1-5*(k_1-5)-6 = 0

19-4*k_1 = 0

(19-4*k_1)/(k_1-5) = 0

(19-4*k_1)/(k_1-5) = 0 // * k_1-5

19-4*k_1 = 0

19-4*k_1

19-4*ln(x) = 0 // - 19

-4*ln(x) = -19 // : -4

ln(x) = -19/(-4)

ln(x) = 19/4

ln(x) = ln(e^(19/4))

x = e^(19/4)

x = e^(19/4)

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