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Popular >

simplify log_{32}(2)

Solution

simplify

lo g_{32} (2)

Solution

\frac{1}{5}

+1

Decimal Notation

0.2

Solution steps

lo g_{32} (2)

Factor the number:

32 = 2^{5}

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

Apply log rule:

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x), a > 0

lo g_{2^{5}} (2) = \frac{1}{5} lo g_{2} (2)

= \frac{1}{5} lo g_{2} (2)

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

= \frac{1}{5} \cdot 1

Multiply the numbers:

\frac{1}{5} \cdot 1 = \frac{1}{5}

= \frac{1}{5}

Popular Examples

simplify (x/8)^2 simplify

(\frac{x}{8})^{2}

simplify 3/2-3 simplify

\frac{3}{2} - 3

8 x^{2} - 19 x - 15 = 0

simplify (3-sqrt(2))/(1+sqrt(2))simplify

\frac{3 - 2}{1 + 2}

1/2 x+1/3 = 5/6

\frac{1}{2} x + \frac{1}{3} = \frac{5}{6}

Frequently Asked Questions (FAQ)

What is log_{32}(2) ?
The solution to log_{32}(2) is 1/5