What is join (4ln(54/7))/(ln(2)) ?

The solution to join (4ln(54/7))/(ln(2)) is (ln(8503056/2401))/(ln(2))

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join (4ln(54/7))/(ln(2))

join

\frac{4 ln ( \frac{54}{7} )}{ln ( 2 )}

\frac{ln ( \frac{8503056}{2401} )}{ln ( 2 )}

Decimal Notation

11.79013 \dots

Solution steps

\frac{4 ln ( \frac{54}{7} )}{ln ( 2 )}

Apply log rule:

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

4 ln (\frac{54}{7}) = ln ((\frac{54}{7})^{4})

= \frac{ln ( ( \frac{54}{7} ) ^{4} )}{ln ( 2 )}

(\frac{54}{7})^{4} = \frac{5 4 ^{4}}{7 ^{4}}

= \frac{ln ( \frac{5 4 ^{4}}{7 ^{4}} )}{ln ( 2 )}

\frac{5 4 ^{4}}{7 ^{4}} = \frac{8503056}{2401}

= \frac{ln ( \frac{8503056}{2401} )}{ln ( 2 )}

ln (\frac{1}{3})

π^{81} (ln (11) - 3 ln (2))

3 lo g_{10} (x) - lo g_{10} (2)

ln (4 x y^{2}) - 2 ln (x^{2} y)

ln (e (\frac{1}{2}))

What is join (4ln(54/7))/(ln(2)) ?
The solution to join (4ln(54/7))/(ln(2)) is (ln(8503056/2401))/(ln(2))