What is ln(5)+ln^7(-3ln^2(x)) ?

The solution to ln(5)+ln^7(-3ln^2(x)) is ln(-15ln^2(x))

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simplify ln(5)+ln^7(-3ln^2(x))

simplify

ln (5) + ln^{7} (- 3 ln^{2} (x))

ln (- 15 ln^{2} (x))

Solution steps

ln (5) + ln^{7} (- 3 ln^{2} (x))

Apply log rule:

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

ln (5) + ln^{7} (- 3 ln^{2} (x)) = ln (5 (- 3 ln^{2} (x)))

= ln (5 (- 3 ln^{2} (x)))

Simplify

5 (- 3 ln^{2} (x)) : - 15 ln^{2} (x)

= ln (- 15 ln^{2} (x))

ln (x) - 4 [ln (x - 6) + ln (x + 6)]

3 lo g_{b} (x) + 2 lo g_{b} (z)

lo g_{8} (\frac{1}{24})

\frac{1}{5} lo g_{6} (3)

195.94 \cdot ln (\frac{x}{0.0125}) + \frac{5.694}{x} - 911.06

What is ln(5)+ln^7(-3ln^2(x)) ?
The solution to ln(5)+ln^7(-3ln^2(x)) is ln(-15ln^2(x))