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Popular >

simplify ln(24)-8ln(2)

Solution

simplify

ln (24) - 8 ln (2)

Solution

ln (\frac{3}{32})

+1

Decimal Notation

- 2.36712 \dots

Solution steps

ln (24) - 8 ln (2)

Apply log rule:

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

8 ln (2) = ln (2^{8})

= ln (24) - ln (2^{8})

Apply log rule:

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

ln (24) - ln (2^{8}) = ln (\frac{24}{2 ^{8}})

= ln (\frac{24}{2 ^{8}})

\frac{24}{2 ^{8}} = \frac{3}{32}

= ln (\frac{3}{32})

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Frequently Asked Questions (FAQ)

What is ln(24)-8ln(2) ?
The solution to ln(24)-8ln(2) is ln(3/32)