What is (2ln(2)-ln(3))/(1.5) ?

The solution to (2ln(2)-ln(3))/(1.5) is (ln(4/3))/(1.5)

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simplify (2ln(2)-ln(3))/(1.5)

simplify

\frac{2 ln ( 2 ) - ln ( 3 )}{1.5}

\frac{ln ( \frac{4}{3} )}{1.5}

Decimal Notation

0.19178 \dots

Solution steps

\frac{2 ln ( 2 ) - ln ( 3 )}{1.5}

Apply log rule:

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

2 ln (2) = ln (2^{2})

= \frac{ln ( 2 ^{2} ) - ln ( 3 )}{1.5}

Apply log rule:

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

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

= \frac{ln ( \frac{2 ^{2}}{3} )}{1.5}

2^{2} = 4

= \frac{ln ( \frac{4}{3} )}{1.5}

lo g_{10} (0.4) - lo g_{10} (0.3)

6 lo g_{5} (u) + 8 lo g_{5} (v)

ln (y + 0.4) - ln (x)

ln (p^{3} (1 - p)^{7})

- lo g_{10} (0.8 \cdot 1 0^{- 9})

What is (2ln(2)-ln(3))/(1.5) ?
The solution to (2ln(2)-ln(3))/(1.5) is (ln(4/3))/(1.5)