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Popular >

simplify 3ln(x)+3+ln(ex)+1

Solution

simplify

3 ln (x) + 3 + ln (e x) + 1

Solution

ln (e x^{4}) + 4

Solution steps

3 ln (x) + 3 + ln (e x) + 1

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= ln (x^{3}) + 3 + ln (e x) + 1

Apply log rule:

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

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

= ln (e x^{3} x) + 3 + 1

Simplify

x^{3} e x : e x^{4}

= ln (e x^{4}) + 3 + 1

Add the numbers:

3 + 1 = 4

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

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Frequently Asked Questions (FAQ)

What is 3ln(x)+3+ln(ex)+1 ?
The solution to 3ln(x)+3+ln(ex)+1 is ln(ex^4)+4