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Popular >

simplify ln(7)+4ln(4)

Solution

simplify

ln (7) + 4 ln (4)

Solution

ln (1792)

+1

Decimal Notation

7.49108 \dots

Solution steps

ln (7) + 4 ln (4)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

7 \cdot 4^{4} = 1792

= ln (1792)

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Frequently Asked Questions (FAQ)

What is ln(7)+4ln(4) ?
The solution to ln(7)+4ln(4) is ln(1792)