Question 1104219
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Use three basic rules for logarithms:
(1) {{{ln(ab) = ln(a)+ln(b)}}}
(2) {{{ln(a/b) = ln(a)-ln(b)}}}
(3) {{{ln(a^n) = n*ln(a)}}}<br>
Using (3)...
{{{(2/3)ln(x-3) = ln((x-3)^(2/3))}}}
{{{4ln(x) = ln(x^4)}}}
{{{7ln(2x-5) = ln((2x-5)^7)}}}<br>
Then using (1) and (2)...
{{{(2/3)ln(x-3)+4ln(x)-7ln(2x-5) = ln(((x-3)^(2/3)*(x^4))/(2x-5)^7)}}}