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Popular >

simplify 2ln(2)+ln(10)

Solution

simplify

2 ln (2) + ln (10)

Solution

ln (40)

+1

Decimal Notation

3.68887 \dots

Solution steps

2 ln (2) + ln (10)

Apply log rule:

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

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

= ln (2^{2}) + ln (10)

Apply log rule:

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

ln (2^{2}) + ln (10) = ln (2^{2} \cdot 10)

= ln (2^{2} \cdot 10)

2^{2} \cdot 10 = 40

= ln (40)

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Frequently Asked Questions (FAQ)

What is 2ln(2)+ln(10) ?
The solution to 2ln(2)+ln(10) is ln(40)