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Popular >

simplify ln(a)+ln(b)-ln(c^2)

Solution

simplify

ln (a) + ln (b) - ln (c^{2})

Solution

ln (\frac{ab}{c ^{2}})

Solution steps

ln (a) + ln (b) - ln (c^{2})

Apply log rule:

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

ln (a) + ln (b) = ln (ab)

= ln (ab) - ln (c^{2})

Apply log rule:

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

ln (ab) - ln (c^{2}) = ln (\frac{ab}{c ^{2}})

= ln (\frac{ab}{c ^{2}})

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Frequently Asked Questions (FAQ)

What is ln(a)+ln(b)-ln(c^2) ?
The solution to ln(a)+ln(b)-ln(c^2) is ln((ab)/(c^2))