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Popular >

simplify ln(x^2+8x)-ln(x)

Solution

simplify

ln (x^{2} + 8 x) - ln (x)

Solution

ln (x + 8)

Solution steps

ln (x^{2} + 8 x) - ln (x)

Apply log rule:

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

ln (x^{2} + 8 x) - ln (x) = ln (\frac{x ^{2} + 8 x}{x})

= ln (\frac{x ^{2} + 8 x}{x})

Simplify

\frac{x ^{2} + 8 x}{x} : x + 8

= ln (x + 8)

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Frequently Asked Questions (FAQ)

What is ln(x^2+8x)-ln(x) ?
The solution to ln(x^2+8x)-ln(x) is ln(x+8)