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Popular >

simplify x(ln(c)-5ln(x))

Solution

simplify

x (ln (c) - 5 ln (x))

Solution

x ln (\frac{c}{x ^{5}})

Solution steps

x (ln (c) - 5 ln (x))

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 ln (x) = ln (x^{5})

= x (- ln (x^{5}) + ln (c))

Apply log rule:

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

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

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

Popular Examples

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- \frac{1}{3} (lo g_{10} (155) - lo g_{10} (35.1))

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ln (\frac{0.01 5 ^{2}}{0.01 1 ^{2}})

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- \frac{1}{7} ln ∣ 100 + 6 ∣ + \frac{1}{7} ln ∣ 100 - 1 ∣

expand log_{d}((sqrt(a)b^2)/(c^3))expand

lo g_{d} (\frac{a b ^{2}}{c ^{3}})

Frequently Asked Questions (FAQ)

What is x(ln(c)-5ln(x)) ?
The solution to x(ln(c)-5ln(x)) is xln(c/(x^5))