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Popular >

simplify 4ln(c)+3ln(d)-2ln(e)

Solution

simplify

4 ln (c) + 3 ln (d) - 2 ln (e)

Solution

ln (c^{4} d^{3}) - 2

Solution steps

4 ln (c) + 3 ln (d) - 2 ln (e)

Apply log rule:

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

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

= ln (c^{4}) + 3 ln (d) - 2 ln (e)

Apply log rule:

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

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

= ln (c^{4}) + ln (d^{3}) - 2 ln (e)

Apply log rule:

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

ln (c^{4}) + ln (d^{3}) = ln (c^{4} d^{3})

= ln (c^{4} d^{3}) - 2 ln (e)

2 ln (e) = 2

= ln (c^{4} d^{3}) - 2

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Frequently Asked Questions (FAQ)

What is 4ln(c)+3ln(d)-2ln(e) ?
The solution to 4ln(c)+3ln(d)-2ln(e) is ln(c^4d^3)-2