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Popular >

simplify 2ln(2a)-ln(1a)+c

Solution

simplify

2 ln (2 a) - ln (1 a) + c

Solution

ln (4 a) + c

Solution steps

2 ln (2 a) - ln (1 \cdot a) + c

Apply log rule:

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

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

= ln ((2 a)^{2}) - ln (1 \cdot a) + c

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln ((2 a)^{2}) - ln (1 \cdot a) = ln (\frac{( 2 a ) ^{2}}{1 \cdot a})

= ln (\frac{( 2 a ) ^{2}}{1 \cdot a}) + c

Simplify

\frac{( 2 a ) ^{2}}{1 \cdot a} : 4 a

= ln (4 a) + c

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Frequently Asked Questions (FAQ)

What is 2ln(2a)-ln(1a)+c ?
The solution to 2ln(2a)-ln(1a)+c is ln(4a)+c