What is simplify-((-ln(2)-5ln(x)-5)/x) ?

The solution to simplify-((-ln(2)-5ln(x)-5)/x) is -(-ln(2x^5)-5)/x

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simplify-((-ln(2)-5ln(x)-5)/x)

simplify

- (\frac{- ln ( 2 ) - 5 ln ( x ) - 5}{x})

- \frac{- ln ( 2 x ^{5} ) - 5}{x}

Solution steps

- (\frac{- ln ( 2 ) - 5 ln ( x ) - 5}{x})

Apply log rule:

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

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

= - (\frac{- ln ( x ^{5} ) - 5 - ln ( 2 )}{x})

Rewrite

- ln (2) - ln (x^{5})

- (ln (2) + ln (x^{5}))

= - (\frac{- ( ln ( x ^{5} ) + ln ( 2 ) ) - 5}{x})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (2) + ln (x^{5}) = ln (2 x^{5})

= - \frac{- ln ( 2 x ^{5} ) - 5}{x}

- 2 ln (cos (\frac{y ^{4}}{4}) + C)

ln (∣ x ∣^{\frac{1}{2}} ∣ x - 6 ∣^{\frac{1}{2}})

- 1 \cdot ln (\frac{x}{y})

ln (\frac{565000}{350000})

ln (\frac{x}{y ^{3} z})

What is simplify-((-ln(2)-5ln(x)-5)/x) ?
The solution to simplify-((-ln(2)-5ln(x)-5)/x) is -(-ln(2x^5)-5)/x