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Popular >

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

Solution

simplify

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

Solution

2

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

\frac{6 ^{2}}{4} = 3^{2}

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

Apply log rule:

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

= 2

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Frequently Asked Questions (FAQ)

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