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Popular >

simplify log_{6}(36p)

Solution

simplify

lo g_{6} (36 p)

Solution

2 + lo g_{6} (p)

Solution steps

lo g_{6} (36 p)

Factor the number:

36 = 6^{2}

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= 2 + lo g_{6} (p)

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Frequently Asked Questions (FAQ)

What is log_{6}(36p) ?
The solution to log_{6}(36p) is 2+log_{6}(p)