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Popular >

simplify 6log_{3}(x)+2log_{3}(11)

Solution

simplify

6 lo g_{3} (x) + 2 lo g_{3} (11)

Solution

lo g_{3} (121 x^{6})

Solution steps

6 lo g_{3} (x) + 2 lo g_{3} (11)

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

2 lo g_{3} (11) = lo g_{3} (1 1^{2})

= lo g_{3} (x^{6}) + lo g_{3} (1 1^{2})

Apply log rule:

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

lo g_{3} (x^{6}) + lo g_{3} (1 1^{2}) = lo g_{3} (x^{6} \cdot 1 1^{2})

= lo g_{3} (x^{6} \cdot 1 1^{2})

Simplify

x^{6} \cdot 1 1^{2} : x^{6} \cdot 121

= lo g_{3} (x^{6} \cdot 121)

= lo g_{3} (121 x^{6})

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Frequently Asked Questions (FAQ)

What is 6log_{3}(x)+2log_{3}(11) ?
The solution to 6log_{3}(x)+2log_{3}(11) is log_{3}(121x^6)

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