en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(yx^9)

Solution

simplify

lo g_{10} (y x^{9})

Solution

lo g_{10} (y) + 9 lo g_{10} (x)

Solution steps

lo g_{10} (y x^{9})

Apply log rule:

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

lo g_{10} (y x^{9}) = lo g_{10} (y) + lo g_{10} (x^{9})

= lo g_{10} (y) + lo g_{10} (x^{9})

Simplify

lo g_{10} (x^{9}) : 9 lo g_{10} (x)

= lo g_{10} (y) + 9 lo g_{10} (x)

Popular Examples

simplify ln(7)+ln(x)simplify

ln (7) + ln (x)

expand log_{10}((x^5)/(y^2))expand

lo g_{10} (\frac{x ^{5}}{y ^{2}})

simplify log_{10}(x^2+2x-15)-log_{10}(x^2-7x+12)simplify

lo g_{10} (x^{2} + 2 x - 15) - lo g_{10} (x^{2} - 7 x + 12)

simplify log_{a}(40)+log_{a}(4)simplify

lo g_{a} (40) + lo g_{a} (4)

simplify log_{8}(x*y*z^3)simplify

lo g_{8} (x \cdot y \cdot z^{3})

Frequently Asked Questions (FAQ)

What is log_{10}(yx^9) ?
The solution to log_{10}(yx^9) is log_{10}(y)+9log_{10}(x)