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Popular >

simplify log_{2}(80)

Solution

simplify

lo g_{2} (80)

Solution

4 + lo g_{2} (5)

+1

Decimal Notation

6.32192 \dots

Solution steps

lo g_{2} (80)

Factor the number:

80 = 2^{4} \cdot 5

= lo g_{2} (2^{4} \cdot 5)

Apply log rule:

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

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

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

Apply log rule:

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

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

= 4 + lo g_{2} (5)

Popular Examples

factor 2x^4-15x^3+35x^2-30x+8 factor

2 x^{4} - 15 x^{3} + 35 x^{2} - 30 x + 8

expand (x-5)(x+8)expand

(x - 5) (x + 8)

4 \frac{1}{4}

simplify f(7)simplify

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3^{2 l o g_{3} (2)} \cdot 3^{7 l o g_{3} (2)}

Frequently Asked Questions (FAQ)

What is log_{2}(80) ?
The solution to log_{2}(80) is 4+log_{2}(5)