en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}(343)

Solution

simplify

lo g_{3} (343)

Solution

3 lo g_{3} (7)

+1

Decimal Notation

5.31373 \dots

Solution steps

lo g_{3} (343)

Factor the number:

343 = 7^{3}

= lo g_{3} (7^{3})

Apply log rule:

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

lo g_{3} (7^{3}) = 3 lo g_{3} (7)

= 3 lo g_{3} (7)

Popular Examples

simplify 1/(sin^2(x))+(sec^2(x))/(tan^2(x))simplify

\frac{1}{sin ^{2} ( x )} + \frac{sec ^{2} ( x )}{tan ^{2} ( x )}

simplify (x-0)(x-1)(x-4)simplify

(x - 0) (x - 1) (x - 4)

factor 6a^8+12a^6-18a^4+24a^2 factor

6 a^{8} + 12 a^{6} - 18 a^{4} + 24 a^{2}

simplify (x^2+x-6)/(x^2-5x+6)*(x^2-2x-3)/(x^2-4x-5)simplify

\frac{x ^{2} + x - 6}{x ^{2} - 5 x + 6} \cdot \frac{x ^{2} - 2 x - 3}{x ^{2} - 4 x - 5}

simplify (4x-16)/x*(x^2-11x+24)/(x^2-7x+12)simplify

\frac{4 x - 16}{x} \cdot \frac{x ^{2} - 11 x + 24}{x ^{2} - 7 x + 12}

Frequently Asked Questions (FAQ)

What is log_{3}(343) ?
The solution to log_{3}(343) is 3log_{3}(7)