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Popular >

simplify ln(1)+ln(2)-ln(x)

Solution

simplify

ln (1) + ln (2) - ln (x)

Solution

ln (\frac{2}{x})

Solution steps

ln (1) + ln (2) - ln (x)

Apply log rule:

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

ln (2) - ln (x) = ln (\frac{2}{x})

= ln (1) + ln (\frac{2}{x})

Apply log rule:

lo g_{a} (1) = 0

= 0 + ln (\frac{2}{x})

0 + ln (\frac{2}{x}) = ln (\frac{2}{x})

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

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3 lo g_{2} (3) + lo g_{2} (e)

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Frequently Asked Questions (FAQ)

What is ln(1)+ln(2)-ln(x) ?
The solution to ln(1)+ln(2)-ln(x) is ln(2/x)