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Popular >

expand ln((x^4y)/7)

Solution

expand

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

Solution

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

Solution steps

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

Apply log rule:

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

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

= ln (x^{4} y) - ln (7)

Apply log rule:

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

ln (x^{4} y) = ln (x^{4}) + ln (y)

= ln (x^{4}) + ln (y) - ln (7)

Apply log rule:

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

ln (x^{4}) = 4 ln (x)

= 4 ln (x) + ln (y) - ln (7)

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Frequently Asked Questions (FAQ)

What is expand ln((x^4y)/7) ?
The solution to expand ln((x^4y)/7) is 4ln(x)+ln(y)-ln(7)