Answer :
We have the expression:
[tex]3\ln (5x-1)+8\ln (x)[/tex]In order to solve to get only one logarithm, we proceed as follows:
[tex]\ln ((5x-1)^3(x)^8)[/tex]That, since:
[tex]\ln (ab)=\ln (a)+\ln (b)[/tex]and:
[tex]\ln (a^n)=n\ln (a)[/tex]
We have the expression:
[tex]3\ln (5x-1)+8\ln (x)[/tex]In order to solve to get only one logarithm, we proceed as follows:
[tex]\ln ((5x-1)^3(x)^8)[/tex]That, since:
[tex]\ln (ab)=\ln (a)+\ln (b)[/tex]and:
[tex]\ln (a^n)=n\ln (a)[/tex]