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

The solution to 2log_{10}(5)+5log_{10}(x) is log_{10}(25x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

lo g_{10} (25 x^{5})

Solution steps

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

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

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

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

Apply log rule:

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

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

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

Simplify

5^{2} x^{5} : 25 x^{5}

= lo g_{10} (25 x^{5})

lo g_{b} (\frac{1}{y})

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

lo g_{10} (x y^{4})

lo g_{10} (\frac{y ^{3}}{z ^{3} x ^{2}})

What is 2log_{10}(5)+5log_{10}(x) ?
The solution to 2log_{10}(5)+5log_{10}(x) is log_{10}(25x^5)