Question 541556
{{{5*(lnx+ln7)-3*(lnx+ln5)}}} Apply the distributive property to both terms.
{{{(5*lnx+5*ln7)-(3*lnx+3*ln5)}}} Now apply the "power rule" for logarithms.
{{{(lnx^5+ln7^5)-(lnx^3+ln5^3)}}} Now apply the "product rule".
{{{ln(x^5*7^5)-ln(x^3*5^3)}}} Simplify using: {{{7^5 = 16807}}} and {{{5^3 = 125}}}.
{{{ln(16807x^5)-ln(125x^3)}}} Now apply the "quotient rule".
{{{ln(16807x^5/125x^3)}}} Simplify.
{{{ln(134.456x^2)}}}