What is 6log_{10}(3)-4log_{10}(2) ?

The solution to 6log_{10}(3)-4log_{10}(2) is log_{10}(729/16)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 6log_{10}(3)-4log_{10}(2)

simplify

6 lo g_{10} (3) - 4 lo g_{10} (2)

lo g_{10} (\frac{729}{16})

Decimal Notation

1.65860 \dots

Solution steps

6 lo g_{10} (3) - 4 lo g_{10} (2)

6 lo g_{10} (3) = lo g_{10} (3^{6})

- 4 lo g_{10} (2) = - lo g_{10} (2^{4})

= lo g_{10} (3^{6}) - lo g_{10} (2^{4})

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{10} (3^{6}) - lo g_{10} (2^{4}) = lo g_{10} (\frac{3 ^{6}}{2 ^{4}})

= lo g_{10} (\frac{3 ^{6}}{2 ^{4}})

\frac{3 ^{6}}{2 ^{4}} = \frac{729}{16}

= lo g_{10} (\frac{729}{16})

4 lo g_{2} (x) + lo g_{2} (y)

2 lo g_{10} (a) + 2 lo g_{10} (b)

lo g_{4} (17 x)

lo g_{3} (\frac{z}{27})

ln (3) + \frac{1}{3} ln (64)

What is 6log_{10}(3)-4log_{10}(2) ?
The solution to 6log_{10}(3)-4log_{10}(2) is log_{10}(729/16)