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Popular >

simplify log_{4}(5x^2)

Solution

simplify

lo g_{4} (5 x^{2})

Solution

lo g_{4} (5) + lo g_{2} (x)

Solution steps

lo g_{4} (5 x^{2})

Apply log rule:

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

lo g_{4} (5 x^{2}) = lo g_{4} (5) + lo g_{4} (x^{2})

= lo g_{4} (5) + lo g_{4} (x^{2})

Simplify

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

= lo g_{4} (5) + lo g_{2} (x)

Popular Examples

simplify log_{4}(x)-log_{4}(y)simplify

lo g_{4} (x) - lo g_{4} (y)

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2 ln (\frac{5}{3})

simplify log_{4}(x^2-36)-4log_{4}(x+6)simplify

lo g_{4} (x^{2} - 36) - 4 lo g_{4} (x + 6)

simplify 4ln(x)-2ln(y)simplify

4 ln (x) - 2 ln (y)

Frequently Asked Questions (FAQ)

What is log_{4}(5x^2) ?
The solution to log_{4}(5x^2) is log_{4}(5)+log_{2}(x)