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Popular >

simplify 2ln(3(4)-2)-ln(2)

Solution

simplify

2 ln (3 (4) - 2) - ln (2)

Solution

ln (50)

+1

Decimal Notation

3.91202 \dots

Solution steps

2 ln (3 (4) - 2) - ln (2)

Apply log rule:

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

2 ln (3 (4) - 2) = ln ((3 (4) - 2)^{2})

= ln ((3 (4) - 2)^{2}) - ln (2)

Apply log rule:

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

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

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

\frac{( 3 ( 4 ) - 2 ) ^{2}}{2} = 50

= ln (50)

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Frequently Asked Questions (FAQ)

What is 2ln(3(4)-2)-ln(2) ?
The solution to 2ln(3(4)-2)-ln(2) is ln(50)