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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{ba}{x ^{2}})

Solution steps

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

Simplify

\frac{b}{x} \cdot \frac{a}{x} : \frac{ba}{x ^{2}}

= ln (\frac{ba}{x ^{2}})

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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((ba)/(x^2))