Question

how do you condense into single logarithm 3 ln (5х-1) +8 lnx?

Answer 1

We have the expression:

$3\ln (5x-1)+8\ln (x)$

In order to solve to get only one logarithm, we proceed as follows:

$\ln ((5x-1)^3(x)^8)$

That, since:

$\ln (ab)=\ln (a)+\ln (b)$

and:

$\ln (a^n)=n\ln (a)$