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Popular >

simplify ln(24)-ln(6)

Solution

simplify

ln (24) - ln (6)

Solution

2 ln (2)

+1

Decimal Notation

1.38629 \dots

Solution steps

ln (24) - ln (6)

Apply log rule:

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

ln (24) - ln (6) = ln (\frac{24}{6})

= ln (\frac{24}{6})

Divide the numbers:

\frac{24}{6} = 4

= ln (4)

Rewrite

4

in power-base form:

4 = 2^{2}

= ln (2^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= 2 ln (2)

Popular Examples

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\frac{1}{2} (lo g_{9} (a) + lo g_{9} (b))

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ln (x) + ln (- ln (x) - ln (4))

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lo g_{2} (x + 1) - lo g_{2} (x)

Frequently Asked Questions (FAQ)

What is ln(24)-ln(6) ?
The solution to ln(24)-ln(6) is 2ln(2)