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Popular >

simplify log_{6}(4)+2log_{6}(3)

Solution

simplify

lo g_{6} (4) + 2 lo g_{6} (3)

Solution

2

Solution steps

lo g_{6} (4) + 2 lo g_{6} (3)

Apply log rule:

b \cdot lo g_{a} (x) = lo g_{a} (x^{b})

2 lo g_{6} (3) = lo g_{6} (3^{2})

= lo g_{6} (4) + lo g_{6} (3^{2})

Apply log rule:

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

lo g_{6} (4) + lo g_{6} (3^{2}) = lo g_{6} (4 \cdot 3^{2})

= lo g_{6} (4 \cdot 3^{2})

4 \cdot 3^{2} = 36

= lo g_{6} (36)

Factor the number:

36 = 6^{2}

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

Apply log rule:

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

= 2

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Frequently Asked Questions (FAQ)

What is log_{6}(4)+2log_{6}(3) ?
The solution to log_{6}(4)+2log_{6}(3) is 2