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Popular >

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

Solution

simplify

3 ln (2) + 4 ln (5)

Solution

ln (5000)

+1

Decimal Notation

8.51719 \dots

Solution steps

3 ln (2) + 4 ln (5)

Apply log rule:

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

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

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

Apply log rule:

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

4 ln (5) = ln (5^{4})

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

Apply log rule:

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

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

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

2^{3} \cdot 5^{4} = 5000

= ln (5000)

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Frequently Asked Questions (FAQ)

What is 3ln(2)+4ln(5) ?
The solution to 3ln(2)+4ln(5) is ln(5000)