SOLUTION: Please help me with this problem: ln(4)-ln(x)=10
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Question 194916: Please help me with this problem: ln(4)-ln(x)=10
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation
Combine the logs using the identity
Use the property ----> to rewrite the equation.
Multiply both sides by "x"
Divide both sides by
So the solution is
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
First thing to remember is that the difference of the logs is the log of the quotient, i.e.
 - \log_b(y) = log_b\left(\frac{x}{y}\right))
So:
 - \ln(x) = \ln\left(\frac{4}{x}\right) = 10)
Next thing:
 \ \ \Rightarrow\ \ b^y = x)
So:
Which is the exact answer. A little calculator work gets you to a numerical approximation.
John
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