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Popular >

simplify ln(7)+3ln(4)

Solution

simplify

ln (7) + 3 ln (4)

Solution

ln (448)

+1

Decimal Notation

6.10479 \dots

Solution steps

ln (7) + 3 ln (4)

Apply log rule:

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

3 ln (4) = ln (4^{3})

= ln (7) + ln (4^{3})

Apply log rule:

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

ln (7) + ln (4^{3}) = ln (4^{3} \cdot 7)

= ln (4^{3} \cdot 7)

7 \cdot 4^{3} = 448

= ln (448)

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Frequently Asked Questions (FAQ)

What is ln(7)+3ln(4) ?
The solution to ln(7)+3ln(4) is ln(448)