What is ln(2/(7x^7y)) ?

The solution to ln(2/(7x^7y)) is ln(2)-ln(7)-7ln(x)-ln(y)

Popular >

simplify ln(2/(7x^7y))

simplify

ln (\frac{2}{7 x ^{7} y})

ln (2) - ln (7) - 7 ln (x) - ln (y)

Solution steps

ln (\frac{2}{7 x ^{7} y})

Apply log rule:

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

ln (\frac{2}{7 x ^{7} y}) = ln (2) - ln (7 x^{7} y)

= ln (2) - ln (7 x^{7} y)

Apply log rule:

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

ln (7 x^{7} y) = ln (7) + ln (x^{7}) + ln (y)

= ln (2) - (ln (x^{7}) + ln (y) + ln (7))

Apply log rule:

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

ln (x^{7}) = 7 ln (x)

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

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

= ln (2) - ln (7) - 7 ln (x) - ln (y)

lo g_{10} (33) + lo g_{10} (264)

ln (\frac{4 x}{7 y ^{2}})

ln (15) - ln (3)

ln (a) + \frac{1}{2} ln (b)

3 lo g_{b} (x) + 9 lo g_{b} (z)

What is ln(2/(7x^7y)) ?
The solution to ln(2/(7x^7y)) is ln(2)-ln(7)-7ln(x)-ln(y)