What is 4log_{10}(2)+3log_{10}(x) ?

The solution to 4log_{10}(2)+3log_{10}(x) is log_{10}(16x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4log_{10}(2)+3log_{10}(x)

simplify

4 lo g_{10} (2) + 3 lo g_{10} (x)

lo g_{10} (16 x^{3})

Solution steps

4 lo g_{10} (2) + 3 lo g_{10} (x)

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

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

= lo g_{10} (2^{4}) + lo g_{10} (x^{3})

Apply log rule:

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

lo g_{10} (2^{4}) + lo g_{10} (x^{3}) = lo g_{10} (2^{4} x^{3})

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

Simplify

2^{4} x^{3} : 16 x^{3}

= lo g_{10} (16 x^{3})

4 ln (x + 3) - \frac{1}{5} ln (4 x + 7)

2 lo g_{2} (3) - lo g_{2} (5)

lo g_{10} (2) + lo g_{10} (11)

lo g_{7} (9) - lo g_{7} (8)

ln (2) + 2 ln (x) + 2 ln (x^{2} + 2)

What is 4log_{10}(2)+3log_{10}(x) ?
The solution to 4log_{10}(2)+3log_{10}(x) is log_{10}(16x^3)