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Popular >

simplify ln(2x)-ln(x)

Solution

simplify

ln (2 x) - ln (x)

Solution

ln (2)

+1

Solution steps

ln (2 x) - ln (x)

Apply log rule:

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

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

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

Cancel the common factor:

x

= ln (2)

Popular Examples

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lo g_{10} (x) - 2 lo g_{10} (y) + 5 lo g_{10} (z)

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lo g_{10} (\frac{2 x + y}{y ^{3}})

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lo g_{2} (5) + lo g_{2} (2 x - 3)

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lo g_{10} (100 y^{4} \cdot \frac{y + 5}{y - 5})

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lo g_{10} (x) + lo g_{10} (5)

Frequently Asked Questions (FAQ)

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