What is 5log_{10}(8)+2log_{10}(x) ?

The solution to 5log_{10}(8)+2log_{10}(x) is log_{10}(32768x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5log_{10}(8)+2log_{10}(x)

simplify

5 lo g_{10} (8) + 2 lo g_{10} (x)

lo g_{10} (32768 x^{2})

Solution steps

5 lo g_{10} (8) + 2 lo g_{10} (x)

5 lo g_{10} (8) = lo g_{10} (8^{5})

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

= lo g_{10} (8^{5}) + lo g_{10} (x^{2})

Apply log rule:

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

lo g_{10} (8^{5}) + lo g_{10} (x^{2}) = lo g_{10} (8^{5} x^{2})

= lo g_{10} (8^{5} x^{2})

Simplify

8^{5} x^{2} : 32768 x^{2}

= lo g_{10} (32768 x^{2})

lo g_{6} (\frac{x y}{z t})

\frac{1}{3} ln (a^{2} b^{4})

lo g_{10} (0.5) + lo g_{10} (98)

lo g_{3} (9 (x^{2} - 9))

lo g_{10} (\frac{a b ^{3}}{c ^{2}})

What is 5log_{10}(8)+2log_{10}(x) ?
The solution to 5log_{10}(8)+2log_{10}(x) is log_{10}(32768x^2)