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Popular >

simplify ln(4)+ln(6)-ln(2)

Solution

simplify

ln (4) + ln (6) - ln (2)

Solution

ln (12)

+1

Decimal Notation

2.48490 \dots

Solution steps

ln (4) + ln (6) - ln (2)

Apply log rule:

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

ln (4) + ln (6) = ln (4 \cdot 6)

= ln (4 \cdot 6) - ln (2)

Multiply the numbers:

4 \cdot 6 = 24

= ln (24) - ln (2)

Apply log rule:

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

ln (24) - ln (2) = ln (\frac{24}{2})

= ln (\frac{24}{2})

Divide the numbers:

\frac{24}{2} = 12

= ln (12)

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Frequently Asked Questions (FAQ)

What is ln(4)+ln(6)-ln(2) ?
The solution to ln(4)+ln(6)-ln(2) is ln(12)