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Popular >

simplify log_{4}(20)

Solution

simplify

lo g_{4} (20)

Solution

1 + lo g_{4} (5)

+1

Solution steps

lo g_{4} (20)

Factor the number:

20 = 4 \cdot 5

= lo g_{4} (4 \cdot 5)

Apply log rule:

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

lo g_{4} (4 \cdot 5) = lo g_{4} (4) + lo g_{4} (5)

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

Apply log rule:

lo g_{a} (a) = 1

lo g_{4} (4) = 1

= 1 + lo g_{4} (5)

Popular Examples

simplify log_{4}(12)simplify

lo g_{4} (12)

expand (x-y)^5 expand

(x - y)^{5}

simplify (4x^{10})/(4x^7)simplify

\frac{4 x ^{10}}{4 x ^{7}}

expand (x+1)(x-5)expand

(x + 1) (x - 5)

expand (2+x)(2-x)expand

(2 + x) (2 - x)

Frequently Asked Questions (FAQ)

What is log_{4}(20) ?
The solution to log_{4}(20) is 1+log_{4}(5)