SOLUTION: ln{[(𝑥^15)(x-1)^1/2]/(3x-16)}=𝐴ln𝑥+𝐵ln(𝑥−1)+𝐶ln(3𝑥−16) 1)with the constant A=? 2)the constant B=? 3)and the constant C=?

Question 1164820: ln{[(𝑥^15)(x-1)^1/2]/(3x-16)}=𝐴ln𝑥+𝐵ln(𝑥−1)+𝐶ln(3𝑥−16)
1)with the constant A=?
2)the constant B=?
3)and the constant C=?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!
given:

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so, , , and

and

Answer by MathTherapy(10810) (Show Source): You can put this solution on YOUR website!

ln{[(𝑥^15)(x-1)^1/2]/(3x-16)}=𝐴ln𝑥+𝐵ln(𝑥−1)+𝐶ln(3𝑥−16) 1)with the constant A=? 2)the constant B=? 3)and the constant C=? = Aln(x) + Bln(x - 1) + Cln(3x - 16) = Aln(x) + Bln(x - 1) + Cln(3x - 16) = Aln(x) + Bln(x - 1) + Cln(3x - 16) 15ln(x) + ln(x - 1) - 1ln(3x - 16) Aln(x) + Bln(x - 1) + Cln(3x - 16) Comparing coefficients above, we see that

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