What is expand log_{10}(log_{10}(x^4)y) ?

The solution to expand log_{10}(log_{10}(x^4)y) is 2log_{10}(2)+log_{10}(log_{10}(x))+log_{10}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}(log_{10}(x^4)y)

expand

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

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

Solution steps

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= lo g_{10} (4 lo g_{10} (x)) + lo g_{10} (y)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (4 lo g_{10} (x)) = lo g_{10} (4) + lo g_{10} (lo g_{10} (x))

= lo g_{10} (4) + lo g_{10} (lo g_{10} (x)) + lo g_{10} (y)

lo g_{10} (4) = 2 lo g_{10} (2)

= 2 lo g_{10} (2) + lo g_{10} (lo g_{10} (x)) + lo g_{10} (y)

\frac{1}{2} [3 ln (x + 3) + ln (x) - ln (x^{2} - 1)]

ln (\frac{10}{9.97})

6 lo g_{3} (w - 4) - 3 lo g_{3} (w + 3)

\frac{1}{4} ln (2) - \frac{1}{8} ln (\frac{4}{3}) + \frac{π}{24 3}

lo g_{5} (\frac{\frac{3 x + 1 ^{3}}{2 x - 1 ^{2}}}{x})

What is expand log_{10}(log_{10}(x^4)y) ?
The solution to expand log_{10}(log_{10}(x^4)y) is 2log_{10}(2)+log_{10}(log_{10}(x))+log_{10}(y)