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Popular >

simplify ln(4x^4y^3)

Solution

simplify

ln (4 x^{4} y^{3})

Solution

2 ln (2) + 4 ln (x) + 3 ln (y)

Solution steps

ln (4 x^{4} y^{3})

Apply log rule:

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

ln (4 x^{4} y^{3}) = ln (4) + ln (x^{4}) + ln (y^{3})

= ln (4) + ln (x^{4}) + ln (y^{3})

Apply log rule:

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

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

= ln (4) + 4 ln (x) + ln (y^{3})

Apply log rule:

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

ln (y^{3}) = 3 ln (y)

= ln (4) + 4 ln (x) + 3 ln (y)

ln (4) = 2 ln (2)

= 2 ln (2) + 4 ln (x) + 3 ln (y)

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Frequently Asked Questions (FAQ)

What is ln(4x^4y^3) ?
The solution to ln(4x^4y^3) is 2ln(2)+4ln(x)+3ln(y)