What is 15ln((3ln(11))/2)-4 ?

The solution to 15ln((3ln(11))/2)-4 is 15(ln(3ln(11))-ln(2))-4

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simplify 15ln((3ln(11))/2)-4

simplify

15 ln (\frac{3 ln ( 11 )}{2}) - 4

15 (ln (3 ln (11)) - ln (2)) - 4

Decimal Notation

15.20084 \dots

Solution steps

15 ln (\frac{3 ln ( 11 )}{2}) - 4

Apply log rule:

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

ln (\frac{3 ln ( 11 )}{2}) = ln (3 ln (11)) - ln (2)

= 15 (ln (3 ln (11)) - ln (2)) - 4

ln (2120) - ln (2120 - 10000)

\frac{1}{3} (ln ∣ 5 ∣ - ln ∣ 5 + 1 ∣)

ln (\frac{4 x ^{4}}{x ^{3} + 3})

- ln (\frac{x}{3})

15 lo g_{5} (a) + 3 lo g_{5} (b)

What is 15ln((3ln(11))/2)-4 ?
The solution to 15ln((3ln(11))/2)-4 is 15(ln(3ln(11))-ln(2))-4