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Popular >

simplify ln(x^5)-ln(x^3)-4

Solution

simplify

ln (x^{5}) - ln (x^{3}) - 4

Solution

ln (x^{2}) - 4

Solution steps

ln (x^{5}) - ln (x^{3}) - 4

Apply log rule:

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

ln (x^{5}) - ln (x^{3}) = ln (\frac{x ^{5}}{x ^{3}})

= ln (\frac{x ^{5}}{x ^{3}}) - 4

Simplify

\frac{x ^{5}}{x ^{3}} : x^{2}

= ln (x^{2}) - 4

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Frequently Asked Questions (FAQ)

What is ln(x^5)-ln(x^3)-4 ?
The solution to ln(x^5)-ln(x^3)-4 is ln(x^2)-4