en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(1000000x)

Solution

simplify

lo g_{10} (1000000 x)

Solution

6 + lo g_{10} (x)

Solution steps

lo g_{10} (1000000 x)

Factor the number:

1000000 = 1 0^{6}

= lo g_{10} (1 0^{6} x)

Apply log rule:

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

lo g_{10} (1 0^{6} x) = lo g_{10} (1 0^{6}) + lo g_{10} (x)

= lo g_{10} (1 0^{6}) + lo g_{10} (x)

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{10} (1 0^{6}) = 6

= 6 + lo g_{10} (x)

Popular Examples

simplify ln(4e^x)simplify

ln (4 e^{x})

simplify log_{10}((x^2-4x+3)/(x^2-4x+5))simplify

lo g_{10} (\frac{x ^{2} - 4 x + 3}{x ^{2} - 4 x + 5})

simplify log_{2}(2x-1)-4log_{4}(x^2)+3log_{2}(x)simplify

lo g_{2} (2 x - 1) - 4 lo g_{4} (x^{2}) + 3 lo g_{2} (x)

simplify log_{10}((5y+1)/(y+4))simplify

lo g_{10} (\frac{5 y + 1}{y + 4})

simplify ln(7/5)simplify

ln (\frac{7}{5})

Frequently Asked Questions (FAQ)

What is log_{10}(1000000x) ?
The solution to log_{10}(1000000x) is 6+log_{10}(x)