What is join (2ln(55/9))/(ln(2))-16 ?

The solution to join (2ln(55/9))/(ln(2))-16 is (ln(3025/81))/(ln(2))-16

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join (2ln(55/9))/(ln(2))-16

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\frac{2 ln ( \frac{55}{9} )}{ln ( 2 )} - 16

\frac{ln ( \frac{3025}{81} )}{ln ( 2 )} - 16

Decimal Notation

- 10.77713 \dots

Solution steps

\frac{2 ln ( \frac{55}{9} )}{ln ( 2 )} - 16

Apply log rule:

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

2 ln (\frac{55}{9}) = ln ((\frac{55}{9})^{2})

= \frac{ln ( ( \frac{55}{9} ) ^{2} )}{ln ( 2 )} - 16

(\frac{55}{9})^{2} = \frac{5 5 ^{2}}{9 ^{2}}

= \frac{ln ( \frac{5 5 ^{2}}{9 ^{2}} )}{ln ( 2 )} - 16

\frac{5 5 ^{2}}{9 ^{2}} = \frac{3025}{81}

= \frac{ln ( \frac{3025}{81} )}{ln ( 2 )} - 16

ln (\frac{( x - 4 ) ^{2}}{( x + 3 ) ^{3}})

0.0259 \cdot ln (\frac{7 \cdot 1 0 ^{15}}{1.5 \cdot 1 0 ^{10}})

ln (20) - ln (2)

lo g_{10} (\frac{1}{e ^{2} e})

5 lo g_{4} (a) - 10 lo g_{4} (b)

What is join (2ln(55/9))/(ln(2))-16 ?
The solution to join (2ln(55/9))/(ln(2))-16 is (ln(3025/81))/(ln(2))-16