What is join (ln(2)32)/5-33/25 ?

The solution to join (ln(2)32)/5-33/25 is (ln(2^{32}))/5-33/25

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join (ln(2)32)/5-33/25

join

\frac{ln ( 2 ) 32}{5} - \frac{33}{25}

\frac{ln ( 2 ^{32} )}{5} - \frac{33}{25}

Decimal Notation

3.11614 \dots

Solution steps

\frac{ln ( 2 ) \cdot 32}{5} - \frac{33}{25}

Apply log rule:

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

ln (2) \cdot 32 = ln (2^{32})

= \frac{ln ( 2 ^{32} )}{5} - \frac{33}{25}

ln (2.05742) + 0.9 \cdot ln (2.036838)

- lo g_{10} (1.14 \cdot 1 0^{- 6})

- \frac{2 lo g _{10} ( e )}{1 - lo g _{10} ( e )}

ln (x^{2} - 1) - 5 ln (x + 1)

lo g_{2} (\frac{9}{x + 7})

What is join (ln(2)32)/5-33/25 ?
The solution to join (ln(2)32)/5-33/25 is (ln(2^{32}))/5-33/25