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Popular >

simplify 8ln(3)-8ln(2)

Solution

simplify

8 ln (3) - 8 ln (2)

Solution

ln (\frac{6561}{256})

+1

Decimal Notation

3.24372 \dots

Solution steps

8 ln (3) - 8 ln (2)

Apply log rule:

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

8 ln (3) = ln (3^{8})

= ln (3^{8}) - 8 ln (2)

Apply log rule:

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

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

= ln (3^{8}) - ln (2^{8})

Apply log rule:

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

ln (3^{8}) - ln (2^{8}) = ln (\frac{3 ^{8}}{2 ^{8}})

= ln (\frac{3 ^{8}}{2 ^{8}})

\frac{3 ^{8}}{2 ^{8}} = \frac{6561}{256}

= ln (\frac{6561}{256})

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Frequently Asked Questions (FAQ)

What is 8ln(3)-8ln(2) ?
The solution to 8ln(3)-8ln(2) is ln(6561/256)