What is ln(x/(61*10^{-6)}) ?

The solution to ln(x/(61*10^{-6)}) is ln(x)-ln(61)+6ln(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x/(61*10^{-6)})

simplify

ln (\frac{x}{61 \cdot 1 0 ^{- 6}})

ln (x) - ln (61) + 6 ln (10)

Solution steps

ln (\frac{x}{61 \cdot 1 0 ^{- 6}})

Apply log rule:

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

ln (\frac{x}{61 \cdot 1 0 ^{- 6}}) = ln (x) - ln (61 \cdot 1 0^{- 6})

= ln (x) - ln (1 0^{- 6} \cdot 61)

Apply log rule:

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

ln (61 \cdot 1 0^{- 6}) = ln (61) + ln (1 0^{- 6})

= ln (x) - (ln (61) + ln (1 0^{- 6}))

Apply log rule:

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

ln (1 0^{- 6}) = - 6 ln (10)

= ln (x) - (ln (61) - 6 ln (10))

- (ln (61) - 6 ln (10)) : - ln (61) + 6 ln (10)

= ln (x) - ln (61) + 6 ln (10)

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

- lo g_{10} (2.9 \cdot 1 0^{13})

ln (\frac{1.3}{0.04})

2 ln (3) - ln (x)

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

What is ln(x/(61*10^{-6)}) ?
The solution to ln(x/(61*10^{-6)}) is ln(x)-ln(61)+6ln(10)