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Popular >

simplify log_{2}(76.8)-log_{2}(1.2)

Solution

simplify

lo g_{2} (76.8) - lo g_{2} (1.2)

Solution

6

Solution steps

lo g_{2} (76.8) - lo g_{2} (1.2)

Apply log rule:

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

lo g_{2} (76.8) - lo g_{2} (1.2) = lo g_{2} (\frac{76.8}{1.2})

= lo g_{2} (\frac{76.8}{1.2})

\frac{76.8}{1.2} = 64

= lo g_{2} (64)

Factor the number:

64 = 2^{6}

= lo g_{2} (2^{6})

Apply log rule:

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

= 6

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Frequently Asked Questions (FAQ)

What is log_{2}(76.8)-log_{2}(1.2) ?
The solution to log_{2}(76.8)-log_{2}(1.2) is 6