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Popular >

simplify log_{3}(16)

Solution

simplify

lo g_{3} (16)

Solution

4 lo g_{3} (2)

+1

Decimal Notation

2.52371 \dots

Solution steps

lo g_{3} (16)

Factor the number:

16 = 2^{4}

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

Apply log rule:

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

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

= 4 lo g_{3} (2)

Popular Examples

simplify 1/3 (-6)simplify

\frac{1}{3} (- 6)

simplify (1/27)^{1/3}simplify

(\frac{1}{27})^{\frac{1}{3}}

-83g+8<=-86g-23\lor g-92<85g-30

- 83 g + 8 \leq - 86 g - 23 or g - 92 < 85 g - 30

x/2-10+x/3+40=180

\frac{x}{2} - 10 + \frac{x}{3} + 40 = 180

(2x^2-2)/(x^3-1)>= (x+1)/(x-1)

\frac{2 x ^{2} - 2}{x ^{3} - 1} \geq \frac{x + 1}{x - 1}

Frequently Asked Questions (FAQ)

What is log_{3}(16) ?
The solution to log_{3}(16) is 4log_{3}(2)