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Popular >

simplify log_{2}(10/3)

Solution

simplify

lo g_{2} (\frac{10}{3})

Solution

1 + lo g_{2} (5) - lo g_{2} (3)

+1

Decimal Notation

1.73696 \dots

Solution steps

lo g_{2} (\frac{10}{3})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{2} (\frac{10}{3}) = lo g_{2} (10) - lo g_{2} (3)

= lo g_{2} (10) - lo g_{2} (3)

lo g_{2} (10) = 1 + lo g_{2} (5)

= 1 + lo g_{2} (5) - lo g_{2} (3)

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Frequently Asked Questions (FAQ)

What is log_{2}(10/3) ?
The solution to log_{2}(10/3) is 1+log_{2}(5)-log_{2}(3)