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Popular >

simplify ln((3y)/(7z))

Solution

simplify

ln (\frac{3 y}{7 z})

Solution

ln (3) + ln (y) - ln (7) - ln (z)

Solution steps

ln (\frac{3 y}{7 z})

Apply log rule:

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

ln (\frac{3 y}{7 z}) = ln (3 y) - ln (7 z)

= ln (3 y) - ln (7 z)

Apply log rule:

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

ln (3 y) = ln (3) + ln (y), ln (7 z) = ln (7) + ln (z)

= ln (3) + ln (y) - (ln (z) + ln (7))

- (ln (7) + ln (z)) : - ln (7) - ln (z)

= ln (3) + ln (y) - ln (7) - ln (z)

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Frequently Asked Questions (FAQ)

What is ln((3y)/(7z)) ?
The solution to ln((3y)/(7z)) is ln(3)+ln(y)-ln(7)-ln(z)