Question 63651
{{{2ln(x^2)-3ln(x)=2}}}
{{{2*2ln(x)-3ln(x)=2}}}
{{{4ln(x)-3ln(x)=2}}}
{{{(4-3)ln(x)=2}}}
{{{1*ln(x)=2}}}
{{{ln(x)=2}}}
{{{x=e^2}}} <--most teachers want this, but just in case:
x=approximately 7.389056099
Check, if x=e^2 does the equation balance?
{{{2ln((e^2)^2)-3ln(e^2)=2}}}
{{{2ln(e^4)-3ln(e^2)=2}}}
{{{4*2ln(e)-2*3ln(e)=2}}}
{{{8ln(e)-6ln(e)=2}}}
{{{8(1)-6(1)=2}}}
{{{8-6=2}}}
{{{2=2}}} We're right!!!
Happy Calculating!!!