What is join (ln(41/16))/(4ln(2)) ?

The solution to join (ln(41/16))/(4ln(2)) is (ln(41/16))/(ln(16))

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join (ln(41/16))/(4ln(2))

join

\frac{ln ( \frac{41}{16} )}{4 ln ( 2 )}

\frac{ln ( \frac{41}{16} )}{ln ( 16 )}

Decimal Notation

0.33938 \dots

Solution steps

\frac{ln ( \frac{41}{16} )}{4 ln ( 2 )}

Apply log rule:

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

4 ln (2) = ln (2^{4})

= \frac{ln ( \frac{41}{16} )}{ln ( 2 ^{4} )}

2^{4} = 16

= \frac{ln ( \frac{41}{16} )}{ln ( 16 )}

lo g_{3} (8) + lo g_{3} (c) - lo g_{3} (4)

5 ln (2) - \frac{1}{2} + 5 ln (3) - 5 ln (1) + 1 - 5 ln (2)

lo g_{10} (3 x y^{2})

- lo g_{10} (3.8 \cdot 1 0^{- 6})

ln (\frac{7 + e ^{x}}{7 - e ^{x}})

What is join (ln(41/16))/(4ln(2)) ?
The solution to join (ln(41/16))/(4ln(2)) is (ln(41/16))/(ln(16))