What is expand ln((4e^6)/(7y)) ?

The solution to expand ln((4e^6)/(7y)) is 2ln(2)+6-ln(7)-ln(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln((4e^6)/(7y))

expand

ln (\frac{4 e ^{6}}{7 y})

2 ln (2) + 6 - ln (7) - ln (y)

Solution steps

ln (\frac{4 e ^{6}}{7 y})

Apply log rule:

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

ln (\frac{4 e ^{6}}{7 y}) = ln (4 e^{6}) - ln (7 y)

= ln (4 e^{6}) - ln (7 y)

Apply log rule:

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

ln (4 e^{6}) = ln (4) + ln (e^{6}), ln (7 y) = ln (7) + ln (y)

= ln (4) + ln (e^{6}) - (ln (y) + ln (7))

Apply log rule:

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

ln (e^{6}) = 6 ln (e)

= ln (4) + 6 ln (e) - (ln (7) + ln (y))

6 ln (e) = 6

= ln (4) + 6 - (ln (y) + ln (7))

ln (4) = 2 ln (2)

= 2 ln (2) + 6 - (ln (y) + ln (7))

- (ln (7) + ln (y)) : - ln (7) - ln (y)

= 2 ln (2) + 6 - ln (7) - ln (y)

ln (6 + x^{2}) - ln (7 + x)

lo g_{5} (2) + lo g_{5} (7)

ln (θ x^{θ - 1})

lo g_{10} (\frac{m ^{4} + n}{1000})

lo g_{9} (2^{y})

What is expand ln((4e^6)/(7y)) ?
The solution to expand ln((4e^6)/(7y)) is 2ln(2)+6-ln(7)-ln(y)