What is log_{2}(64/250)+6log_{4}(5) ?

The solution to log_{2}(64/250)+6log_{4}(5) is log_{2}(32/125)+6log_{4}(5)

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simplify log_{2}(64/250)+6log_{4}(5)

simplify

lo g_{2} (\frac{64}{250}) + 6 lo g_{4} (5)

lo g_{2} (\frac{32}{125}) + 6 lo g_{4} (5)

Decimal Notation

5

Solution steps

lo g_{2} (\frac{64}{250}) + 6 lo g_{4} (5)

Cancel

\frac{64}{250} : \frac{32}{125}

= lo g_{2} (\frac{32}{125}) + 6 lo g_{4} (5)

lo g_{2} (x y)

lo g_{10} (\frac{x ^{2}}{5})

- lo g_{10} (1 \cdot 1 0^{- 9})

lo g_{10} (5 x^{3})

What is log_{2}(64/250)+6log_{4}(5) ?
The solution to log_{2}(64/250)+6log_{4}(5) is log_{2}(32/125)+6log_{4}(5)