What is join (32ln(3/1201))/(ln(2)) ?

The solution to join (32ln(3/1201))/(ln(2)) is (ln(\frac{3^{32})/(1201^{32)})}{ln(2)}

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join (32ln(3/1201))/(ln(2))

join

\frac{32 ln ( \frac{3}{1201} )}{ln ( 2 )}

\frac{ln ( \frac{3 ^{32}}{120 1 ^{32}} )}{ln ( 2 )}

Decimal Notation

- 276.64185 \dots

Solution steps

\frac{32 ln ( \frac{3}{1201} )}{ln ( 2 )}

Apply log rule:

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

32 ln (\frac{3}{1201}) = ln ((\frac{3}{1201})^{32})

= \frac{ln ( ( \frac{3}{1201} ) ^{32} )}{ln ( 2 )}

(\frac{3}{1201})^{32} = \frac{3 ^{32}}{120 1 ^{32}}

= \frac{ln ( \frac{3 ^{32}}{120 1 ^{32}} )}{ln ( 2 )}

e^{\frac{l n ( 3 ) - l n ( 8 ) + l n ( \frac{25}{6} )}{2}}

ln (\frac{e ^{- \frac{1}{2 x}}}{1 - e ^{- \frac{1}{x}}})

\frac{2 lo g _{10} ( 3 ) + lo g _{10} ( 2 )}{lo g _{10} ( 3 )}

ln (\frac{x ^{3} x ^{2} + 2}{( x + 2 ) ^{7}})

ln (\frac{99}{100})

What is join (32ln(3/1201))/(ln(2)) ?
The solution to join (32ln(3/1201))/(ln(2)) is (ln(\frac{3^{32})/(1201^{32)})}{ln(2)}