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Popular >

join 12/5*log_{2}(5)

Solution

join

\frac{12}{5} \cdot lo g_{2} (5)

Solution

lo g_{2} (25 \cdot 5^{\frac{2}{5}})

+1

Decimal Notation

5.57262 \dots

Solution steps

\frac{12}{5} lo g_{2} (5)

Apply log rule:

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

\frac{12}{5} lo g_{2} (5) = lo g_{2} (5^{\frac{12}{5}})

= lo g_{2} (5^{\frac{12}{5}})

5^{\frac{12}{5}} = 5^{2} \cdot 5^{\frac{2}{5}}

= lo g_{2} (5^{2} \cdot 5^{\frac{2}{5}})

5^{2} = 25

= lo g_{2} (25 \cdot 5^{\frac{2}{5}})

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Frequently Asked Questions (FAQ)

What is join 12/5*log_{2}(5) ?
The solution to join 12/5*log_{2}(5) is log_{2}(25*5^{2/5})