What is 3log_{10}(7)+log_{10}(2) ?

The solution to 3log_{10}(7)+log_{10}(2) is log_{10}(686)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3log_{10}(7)+log_{10}(2)

simplify

3 lo g_{10} (7) + lo g_{10} (2)

lo g_{10} (686)

Decimal Notation

2.83632 \dots

Solution steps

3 lo g_{10} (7) + lo g_{10} (2)

Apply log rule:

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

3 lo g_{10} (7) = lo g_{10} (7^{3})

= lo g_{10} (7^{3}) + lo g_{10} (2)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (7^{3}) + lo g_{10} (2) = lo g_{10} (7^{3} \cdot 2)

= lo g_{10} (7^{3} \cdot 2)

7^{3} \cdot 2 = 686

= lo g_{10} (686)

lo g_{7} (49 x)

4 (ln (5) - ln (x)) + (4 ln (x) - ln (25))

lo g_{10} (\frac{3 x ^{3}}{y})

3 lo g_{10} (8) + lo g_{10} (9) - lo g_{10} (36)

lo g_{3} (x^{3} y^{4})

What is 3log_{10}(7)+log_{10}(2) ?
The solution to 3log_{10}(7)+log_{10}(2) is log_{10}(686)