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Popular >

simplify ln(b/x)-ln(a/x)

Solution

simplify

ln (\frac{b}{x}) - ln (\frac{a}{x})

Solution

ln (\frac{b}{a})

Solution steps

ln (\frac{b}{x}) - ln (\frac{a}{x})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (\frac{b}{x}) - ln (\frac{a}{x}) = ln (\frac{\frac{b}{x}}{\frac{a}{x}})

= ln (\frac{\frac{b}{x}}{\frac{a}{x}})

Simplify

\frac{\frac{b}{x}}{\frac{a}{x}} : \frac{b}{a}

= ln (\frac{b}{a})

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Frequently Asked Questions (FAQ)

What is ln(b/x)-ln(a/x) ?
The solution to ln(b/x)-ln(a/x) is ln(b/a)