What is ln(x)+ln(-ln(x)-ln(4)) ?

The solution to ln(x)+ln(-ln(x)-ln(4)) is ln(-xln(4x))

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simplify ln(x)+ln(-ln(x)-ln(4))

simplify

ln (x) + ln (- ln (x) - ln (4))

ln (- x ln (4 x))

Solution steps

ln (x) + ln (- ln (x) - ln (4))

Apply log rule:

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

ln (x) + ln (- ln (x) - ln (4)) = ln (x (- ln (x) - ln (4)))

= ln (x (- ln (x) - ln (4)))

Simplify

x (- ln (x) - ln (4)) : - x ln (4 x)

= ln (- x ln (4 x))

lo g_{2} (\frac{s ^{5}}{7 t ^{2}})

lo g_{2} (x + 1) - lo g_{2} (x)

4 [lo g_{2} (k) - lo g_{2} (k - t)]

ln (28) 0.125 + ln (\frac{3}{5}) 0.6 - 49 ln (7 e^{3})

lo g_{4} (\frac{x - 2}{x ^{5}})

What is ln(x)+ln(-ln(x)-ln(4)) ?
The solution to ln(x)+ln(-ln(x)-ln(4)) is ln(-xln(4x))