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Popular >

simplify log_{2}(57.6)-log_{2}(1.8)

Solution

simplify

lo g_{2} (57.6) - lo g_{2} (1.8)

Solution

5

Solution steps

lo g_{2} (57.6) - lo g_{2} (1.8)

Apply log rule:

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

lo g_{2} (57.6) - lo g_{2} (1.8) = lo g_{2} (\frac{57.6}{1.8})

= lo g_{2} (\frac{57.6}{1.8})

\frac{57.6}{1.8} = 32

= lo g_{2} (32)

Factor the number:

32 = 2^{5}

= lo g_{2} (2^{5})

Apply log rule:

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

= 5

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Frequently Asked Questions (FAQ)

What is log_{2}(57.6)-log_{2}(1.8) ?
The solution to log_{2}(57.6)-log_{2}(1.8) is 5