What is expand log_{10}((sqrt(x))/4) ?

The solution to expand log_{10}((sqrt(x))/4) is log_{10}(sqrt(x))-2log_{10}(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}((sqrt(x))/4)

expand

lo g_{10} (\frac{x}{4})

lo g_{10} (x) - 2 lo g_{10} (2)

Solution steps

lo g_{10} (\frac{x}{4})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{x}{4}) = lo g_{10} (x) - lo g_{10} (4)

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

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

= lo g_{10} (x) - 2 lo g_{10} (2)

lo g_{10} (x^{2} - x - 6) - lo g_{10} (x^{2} - 5 x + 6)

2 lo g_{10} (a) + 3 lo g_{10} (b) - 4 lo g_{10} (c)

ln (5) + ln (x - 1)

13.375 ln (\frac{x}{x - 1250})

\frac{ln ( 3 ) + ln ( 32 )}{ln ( 3 ) - ln ( 16 )}

What is expand log_{10}((sqrt(x))/4) ?
The solution to expand log_{10}((sqrt(x))/4) is log_{10}(sqrt(x))-2log_{10}(2)