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Popular >

simplify ln((7y)/(6z))

Solution

simplify

ln (\frac{7 y}{6 z})

Solution

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

Solution steps

ln (\frac{7 y}{6 z})

Apply log rule:

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

ln (\frac{7 y}{6 z}) = ln (7 y) - ln (6 z)

= ln (7 y) - ln (6 z)

Apply log rule:

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

ln (7 y) = ln (7) + ln (y), ln (6 z) = ln (6) + ln (z)

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

- (ln (6) + ln (z)) : - ln (6) - ln (z)

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

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Frequently Asked Questions (FAQ)

What is ln((7y)/(6z)) ?
The solution to ln((7y)/(6z)) is ln(7)+ln(y)-ln(6)-ln(z)