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Popular >

simplify ln(ex^4)+4

Solution

simplify

ln (e x^{4}) + 4

Solution

4 ln (x) + 5

Solution steps

ln (e x^{4}) + 4

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (e) + 4 ln (x) + 4

Apply log rule:

lo g_{a} (a) = 1

= 1 + 4 ln (x) + 4

Group like terms

= 4 ln (x) + 1 + 4

Add the numbers:

1 + 4 = 5

= 4 ln (x) + 5

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Frequently Asked Questions (FAQ)

What is ln(ex^4)+4 ?
The solution to ln(ex^4)+4 is 4ln(x)+5