What is ln(4/9)*(20)/(ln(4/11)) ?

The solution to ln(4/9)*(20)/(ln(4/11)) is (20(2ln(2)-2ln(3)))/(ln(4/11))

Popular >

simplify ln(4/9)*(20)/(ln(4/11))

simplify

ln (\frac{4}{9}) \cdot \frac{20}{ln ( \frac{4}{11} )}

\frac{20 ( 2 ln ( 2 ) - 2 ln ( 3 ) )}{ln ( \frac{4}{11} )}

Decimal Notation

16.03261 \dots

Solution steps

ln (\frac{4}{9}) \frac{20}{ln ( \frac{4}{11} )}

Apply log rule:

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

ln (\frac{4}{9}) = ln (4) - ln (9)

= \frac{20}{ln ( \frac{4}{11} )} (ln (4) - ln (9))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{20 ( ln ( 4 ) - ln ( 9 ) )}{ln ( \frac{4}{11} )}

ln (4) = 2 ln (2)

ln (9) = 2 ln (3)

= \frac{20 ( 2 ln ( 2 ) - 2 ln ( 3 ) )}{ln ( \frac{4}{11} )}

ln ((- 2.772)^{19.764})

\frac{1}{2} ln ∣ 2 (12) + 1 ∣ + 2 ln ∣ 12 - 1 ∣

ln (x sin (x) d x)

7 ln (\frac{6}{7}) - ln (6)

200 ln (\frac{400}{500 - 300})

What is ln(4/9)*(20)/(ln(4/11)) ?
The solution to ln(4/9)*(20)/(ln(4/11)) is (20(2ln(2)-2ln(3)))/(ln(4/11))