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Popular >

simplify 3ln(3)+ln(2^7)

Solution

simplify

3 ln (3) + ln (2^{7})

Solution

ln (3456)

+1

Decimal Notation

8.14786 \dots

Solution steps

3 ln (3) + ln (2^{7})

Apply log rule:

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

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

= ln (3^{3}) + ln (2^{7})

Apply log rule:

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

ln (3^{3}) + ln (2^{7}) = ln (2^{7} \cdot 3^{3})

= ln (2^{7} \cdot 3^{3})

3^{3} \cdot 2^{7} = 3456

= ln (3456)

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Frequently Asked Questions (FAQ)

What is 3ln(3)+ln(2^7) ?
The solution to 3ln(3)+ln(2^7) is ln(3456)