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Popular >

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

Solution

simplify

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

Solution

ln (3)

+1

Decimal Notation

1.09861 \dots

Solution steps

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

Apply log rule:

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

ln (2) + ln (6) = ln (2 \cdot 6)

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

Multiply the numbers:

2 \cdot 6 = 12

= ln (12) - ln (4)

Apply log rule:

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

ln (12) - ln (4) = ln (\frac{12}{4})

= ln (\frac{12}{4})

Divide the numbers:

\frac{12}{4} = 3

= ln (3)

Popular Examples

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- lo g_{10} (6.4 \cdot 1 0^{- 5})

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3 ln (x^{2} y) - 21 ln (x y) + 1

simplify-log_{10}(4.8*10^{-4})simplify

- lo g_{10} (4.8 \cdot 1 0^{- 4})

Frequently Asked Questions (FAQ)

What is ln(2)+ln(6)-ln(4) ?
The solution to ln(2)+ln(6)-ln(4) is ln(3)