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Popular >

simplify ln(x)-ln(5x)

Solution

simplify

ln (x) - ln (5 x)

Solution

- ln (5)

+1

Decimal Notation

- 1.60943 \dots

Solution steps

ln (x) - ln (5 x)

Apply log rule:

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

ln (x) - ln (5 x) = ln (\frac{x}{5 x})

= ln (\frac{x}{5 x})

Cancel the common factor:

x

= ln (\frac{1}{5})

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= - ln (5)

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Frequently Asked Questions (FAQ)

What is ln(x)-ln(5x) ?
The solution to ln(x)-ln(5x) is -ln(5)