What is join (3ln^2(5))/2-6ln^2(2) ?

The solution to join (3ln^2(5))/2-6ln^2(2) is (ln^2(125))/2-6ln^2(2)

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join (3ln^2(5))/2-6ln^2(2)

join

\frac{3 ln ^{2} ( 5 )}{2} - 6 ln^{2} (2)

\frac{ln ^{2} ( 125 )}{2} - 6 ln^{2} (2)

Decimal Notation

8.77358 \dots

Solution steps

\frac{3 ln ^{2} ( 5 )}{2} - 6 ln^{2} (2)

Apply log rule:

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

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

= \frac{ln ^{2} ( 5 ^{3} )}{2} - 6 ln^{2} (2)

5^{3} = 125

= \frac{ln ^{2} ( 125 )}{2} - 6 ln^{2} (2)

2 lo g_{8} (x) - \frac{1}{2} lo g_{8} (w) + 4 lo g_{8} (y)

ln (\frac{2.5}{1.5})

ln (\frac{( 31800000 )}{( 21800 )})

ln (1 + tan (\frac{x}{2})) - ln (1 - tan (\frac{x}{2}))

- lo g_{10} (1.36 \cdot 1 0^{- 5})

What is join (3ln^2(5))/2-6ln^2(2) ?
The solution to join (3ln^2(5))/2-6ln^2(2) is (ln^2(125))/2-6ln^2(2)