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Popular >

simplify log_{2}(81)

Solution

simplify

lo g_{2} (81)

Solution

4 lo g_{2} (3)

+1

Decimal Notation

6.33985 \dots

Solution steps

lo g_{2} (81)

Factor the number:

81 = 3^{4}

= lo g_{2} (3^{4})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{2} (3^{4}) = 4 lo g_{2} (3)

= 4 lo g_{2} (3)

Popular Examples

1 2^{2} + 3 5^{2}

simplify sqrt(49/25)simplify

\frac{49}{25}

\H(22.75)=91-32(22.75)^2

H (22.75) = 91 - 32 (22.75)^{2}

x-(5x-1)/3 =4x-3/5

x - \frac{5 x - 1}{3} = 4 x - \frac{3}{5}

factor 3a^3b^2c-9a^2b^3c^2+15ab^4c^3 factor

3 a^{3} b^{2} c - 9 a^{2} b^{3} c^{2} + 15 a b^{4} c^{3}

Frequently Asked Questions (FAQ)

What is log_{2}(81) ?
The solution to log_{2}(81) is 4log_{2}(3)