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Popular >

simplify 2log_{3}(4)-log_{3}(48)

Solution

simplify

2 lo g_{3} (4) - lo g_{3} (48)

Solution

- 1

Solution steps

2 lo g_{3} (4) - lo g_{3} (48)

Apply log rule:

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

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

= lo g_{3} (4^{2}) - lo g_{3} (48)

Apply log rule:

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

lo g_{3} (4^{2}) - lo g_{3} (48) = lo g_{3} (\frac{4 ^{2}}{48})

= lo g_{3} (\frac{4 ^{2}}{48})

\frac{4 ^{2}}{48} = 3^{- 1}

= lo g_{3} (3^{- 1})

Apply log rule:

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

= - 1

Popular Examples

-(3y)/(12)-(6y)/(12)-y/8 =-1/4

- \frac{3 y}{12} - \frac{6 y}{12} - \frac{y}{8} = - \frac{1}{4}

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factor x^2+13xy+42y^2 factor

x^{2} + 13 x y + 42 y^{2}

x^{2} - 9 = 0

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Frequently Asked Questions (FAQ)

What is 2log_{3}(4)-log_{3}(48) ?
The solution to 2log_{3}(4)-log_{3}(48) is -1