What is log_{10}(100000xsqrt(x-3)) ?

The solution to log_{10}(100000xsqrt(x-3)) is 5+log_{10}(x)+log_{10}(sqrt(x-3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(100000xsqrt(x-3))

simplify

lo g_{10} (100000 x x - 3)

5 + lo g_{10} (x) + lo g_{10} (x - 3)

Solution steps

lo g_{10} (100000 x x - 3)

Factor the number:

100000 = 1 0^{5}

= lo g_{10} (1 0^{5} x x - 3)

Apply log rule:

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

lo g_{10} (1 0^{5} x x - 3) = lo g_{10} (1 0^{5}) + lo g_{10} (x x - 3)

= lo g_{10} (1 0^{5}) + lo g_{10} (x x - 3)

Apply log rule:

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

lo g_{10} (1 0^{5}) = 5

= 5 + lo g_{10} (x x - 3)

Apply log rule:

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

lo g_{10} (x x - 3) = lo g_{10} (x) + lo g_{10} (x - 3)

= 5 + (lo g_{10} (x) + lo g_{10} (x - 3))

Apply rule:

a + (b + c) = a + b + c

5 + (lo g_{10} (x) + lo g_{10} (x - 3)) = 5 + lo g_{10} (x) + lo g_{10} (x - 3)

= 5 + lo g_{10} (x) + lo g_{10} (x - 3)

lo g_{2} (5) - lo g_{2} (40)

ln (\frac{e x ^{2}}{y})

lo g_{\frac{1}{3}} (\frac{3 x ^{2} - 14 x - 24}{6}) - x + 3

ln (\frac{2 + 1}{2 - 1})

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

What is log_{10}(100000xsqrt(x-3)) ?
The solution to log_{10}(100000xsqrt(x-3)) is 5+log_{10}(x)+log_{10}(sqrt(x-3))