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Popular >

expand log_{4}(4x^2)

Solution

expand

lo g_{4} (4 x^{2})

Solution

1 + 2 lo g_{4} (x)

Solution steps

lo g_{4} (4 x^{2})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{4} (4 x^{2}) = lo g_{4} (4) + lo g_{4} (x^{2})

= lo g_{4} (4) + lo g_{4} (x^{2})

Apply log rule:

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

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

= lo g_{4} (4) + 2 lo g_{4} (x)

Apply log rule:

lo g_{a} (a) = 1

= 1 + 2 lo g_{4} (x)

Popular Examples

expand log_{4}((64)/(sqrt(x+5)))expand

lo g_{4} (\frac{64}{x + 5})

simplify 3log_{3}(x)-log_{3}(1/y)simplify

3 lo g_{3} (x) - lo g_{3} (\frac{1}{y})

simplify log_{10}((3x)/(10))simplify

lo g_{10} (\frac{3 x}{10})

simplify 3log_{b}(4x)-(log_{b}(5y)+log_{b}(6z))simplify

3 lo g_{b} (4 x) - (lo g_{b} (5 y) + lo g_{b} (6 z))

expand log_{10}((15)/(xy))expand

lo g_{10} (\frac{15}{x y})

Frequently Asked Questions (FAQ)

What is expand log_{4}(4x^2) ?
The solution to expand log_{4}(4x^2) is 1+2log_{4}(x)