Examples of Math Problems: solve the equation ln(x)- ln (x-3) = ln(5)

Tuesday, December 30, 2014

solve the equation ln(x)- ln (x-3) = ln(5)

combining logs...
ln%28x%2F%28x-3%29%29=ln%285%29

ln%28x%2F%28x-3%29%29=ln%285%29

raising e to both sides of the equation...
%0D%0Ax%2F%28x-3%29=5%0D%0A

%0D%0Ax%2F%28x-3%29=5%0D%0A

which leads to...

x=5%28x-3%29

x=5%28x-3%29

x=5x-15

4x=15

and so...

x=15%2F4

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