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Popular >

simplify ln(6)+4ln(4)

Solution

simplify

ln (6) + 4 ln (4)

Solution

ln (1536)

+1

Decimal Notation

7.33693 \dots

Solution steps

ln (6) + 4 ln (4)

Apply log rule:

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

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

= ln (6) + ln (4^{4})

Apply log rule:

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

ln (6) + ln (4^{4}) = ln (4^{4} \cdot 6)

= ln (4^{4} \cdot 6)

6 \cdot 4^{4} = 1536

= ln (1536)

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Frequently Asked Questions (FAQ)

What is ln(6)+4ln(4) ?
The solution to ln(6)+4ln(4) is ln(1536)