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Popular >

simplify log_{4}(4x^2)

Solution

simplify

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

Solution

1 + lo g_{2} (x)

Solution steps

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

Apply log rule:

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

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} (a) = 1

lo g_{4} (4) = 1

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

Simplify

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

= 1 + lo g_{2} (x)

Popular Examples

simplify log_{b}(4x)+7(log_{b}(x)-log_{b}(y))simplify

lo g_{b} (4 x) + 7 (lo g_{b} (x) - lo g_{b} (y))

simplify 1/3*log_{4}(8)+log_{4}(15)simplify

\frac{1}{3} \cdot lo g_{4} (8) + lo g_{4} (15)

simplify 2log_{b}(x)+7log_{b}(z)simplify

2 lo g_{b} (x) + 7 lo g_{b} (z)

simplify log_{4}((ab)/(cd))simplify

lo g_{4} (\frac{ab}{c d})

domain of f(x)=ln(x-2)-ln(2x-3)domain

f (x) = ln (x - 2) - ln (2 x - 3)

Frequently Asked Questions (FAQ)

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