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Popular >

simplify ln(e^x+x)-ln(x)

Solution

simplify

ln (e^{x} + x) - ln (x)

Solution

ln (\frac{e ^{x} + x}{x})

Solution steps

ln (e^{x} + x) - ln (x)

Apply log rule:

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

ln (e^{x} + x) - ln (x) = ln (\frac{x + e ^{x}}{x})

= ln (\frac{e ^{x} + x}{x})

Popular Examples

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Frequently Asked Questions (FAQ)

What is ln(e^x+x)-ln(x) ?
The solution to ln(e^x+x)-ln(x) is ln((e^x+x)/x)