What is join (2ln(5))/(ln(2))-3 ?

The solution to join (2ln(5))/(ln(2))-3 is (ln(25))/(ln(2))-3

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join (2ln(5))/(ln(2))-3

join

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

\frac{ln ( 25 )}{ln ( 2 )} - 3

Decimal Notation

1.64385 \dots

Solution steps

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

Apply log rule:

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

2 ln (5) = ln (5^{2})

= \frac{ln ( 5 ^{2} )}{ln ( 2 )} - 3

5^{2} = 25

= \frac{ln ( 25 )}{ln ( 2 )} - 3

- 2 ln (\frac{10 - x}{10})

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

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

ln (\frac{5}{1000})

lo g_{b} (\frac{x ^{3} \cdot y}{z ^{3}})

What is join (2ln(5))/(ln(2))-3 ?
The solution to join (2ln(5))/(ln(2))-3 is (ln(25))/(ln(2))-3