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Popular >

expand ln((12x^5)/y)

Solution

expand

ln (\frac{12 x ^{5}}{y})

Solution

ln (12) + 5 ln (x) - ln (y)

Solution steps

ln (\frac{12 x ^{5}}{y})

Apply log rule:

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

ln (\frac{12 x ^{5}}{y}) = ln (12 x^{5}) - ln (y)

= ln (12 x^{5}) - ln (y)

Apply log rule:

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

ln (12 x^{5}) = ln (12) + ln (x^{5})

= ln (12) + ln (x^{5}) - ln (y)

Apply log rule:

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

ln (x^{5}) = 5 ln (x)

= ln (12) + 5 ln (x) - ln (y)

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Frequently Asked Questions (FAQ)

What is expand ln((12x^5)/y) ?
The solution to expand ln((12x^5)/y) is ln(12)+5ln(x)-ln(y)