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Popular >

simplify log_{2}(64p)

Solution

simplify

lo g_{2} (64 p)

Solution

6 + lo g_{2} (p)

Solution steps

lo g_{2} (64 p)

Factor the number:

64 = 2^{6}

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

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

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

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

Apply log rule:

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

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

= 6 + lo g_{2} (p)

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Frequently Asked Questions (FAQ)

What is log_{2}(64p) ?
The solution to log_{2}(64p) is 6+log_{2}(p)