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Popular >

simplify log_{3}(0.5)

Solution

simplify

lo g_{3} (0.5)

Solution

- lo g_{3} (2)

+1

Decimal Notation

- 0.63092 \dots

Solution steps

lo g_{3} (0.5)

0.5 = \frac{5}{10}

= lo g_{3} (\frac{5}{10})

Cancel the numbers:

\frac{5}{10} = \frac{1}{2}

= lo g_{3} (\frac{1}{2})

\frac{1}{2} = 2^{- 1}

= lo g_{3} (2^{- 1})

Apply log rule:

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

lo g_{3} (2^{- 1}) = - 1 \cdot lo g_{3} (2)

= - 1 \cdot lo g_{3} (2)

Apply rule:

1 \cdot a = a

= - lo g_{3} (2)

Popular Examples

((x+8))/4+((x-2))/3 =(23/12)

\frac{( x + 8 )}{4} + \frac{( x - 2 )}{3} = (\frac{23}{12})

- X^{2} \leq 0

-4(2x+1)-2x+6>= 22

- 4 (2 x + 1) - 2 x + 6 \geq 22

longmult 0.04*3 long multiplication

0.04 \cdot 3

factor 3x^2-14xy+16y^2 factor

3 x^{2} - 14 x y + 16 y^{2}

Frequently Asked Questions (FAQ)

What is log_{3}(0.5) ?
The solution to log_{3}(0.5) is -log_{3}(2)