Question 1161774
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Messy; but straightforward....<br>
(1) Change the multipliers for each log to exponents
{{{4log(((y^4)(x^(-2))))}}} --> {{{log((((y^4)(x^(-2)))^4))}}}<br>
{{{3log(((x^3)/(y^2)))}}} --> {{{log((((x^3)/(y^2))^3))}}}<br>
{{{5log(((x^2)(y^(3/2))))}}} --> {{{log((((x^2)(y^(3/2)))^5))}}}<br>
(2) Change added logs to multiplications; change subtracted logs to divisions<br>
{{{4log(((y^4)(x^(-2))))-3log((((x^3)/(y^2))))+5log(((x^2)(y^(3/2))))}}} = {{{log((((((y^4)(x^(-2)))^4)(((x^2)(y^(3/2)))^5))/(((x^3)/(y^2))^3)))}}}