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Popular >

simplify ln(ex^3sqrt(y))

Solution

simplify

ln (e x^{3} y)

Solution

1 + 3 ln (x) + ln (y)

Solution steps

ln (e x^{3} y)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

= 1 + 3 ln (x) + ln (y)

Popular Examples

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- lo g_{10} (9.82 \cdot 1 0^{- 5})

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- lo g_{10} (4.2 \cdot 1 0^{- 11})

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Frequently Asked Questions (FAQ)

What is ln(ex^3sqrt(y)) ?
The solution to ln(ex^3sqrt(y)) is 1+3ln(x)+ln(sqrt(y))