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Popular >

simplify 4ln(3)+ln(2^5)

Solution

simplify

4 ln (3) + ln (2^{5})

Solution

ln (2592)

+1

Decimal Notation

7.86018 \dots

Solution steps

4 ln (3) + ln (2^{5})

Apply log rule:

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

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

= ln (3^{4}) + ln (2^{5})

Apply log rule:

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

ln (3^{4}) + ln (2^{5}) = ln (2^{5} \cdot 3^{4})

= ln (2^{5} \cdot 3^{4})

3^{4} \cdot 2^{5} = 2592

= ln (2592)

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Frequently Asked Questions (FAQ)

What is 4ln(3)+ln(2^5) ?
The solution to 4ln(3)+ln(2^5) is ln(2592)