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Popular >

simplify 8ln(3)-4ln(5)

Solution

simplify

8 ln (3) - 4 ln (5)

Solution

ln (\frac{6561}{625})

+1

Decimal Notation

2.35114 \dots

Solution steps

8 ln (3) - 4 ln (5)

Apply log rule:

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

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

= ln (3^{8}) - 4 ln (5)

Apply log rule:

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

4 ln (5) = ln (5^{4})

= ln (3^{8}) - ln (5^{4})

Apply log rule:

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

ln (3^{8}) - ln (5^{4}) = ln (\frac{3 ^{8}}{5 ^{4}})

= ln (\frac{3 ^{8}}{5 ^{4}})

\frac{3 ^{8}}{5 ^{4}} = \frac{6561}{625}

= ln (\frac{6561}{625})

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Frequently Asked Questions (FAQ)

What is 8ln(3)-4ln(5) ?
The solution to 8ln(3)-4ln(5) is ln(6561/625)