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Popular >

simplify ln(9n)-2ln(3)

Solution

simplify

ln (9 n) - 2 ln (3)

Solution

ln (n)

Solution steps

ln (9 n) - 2 ln (3)

Apply log rule:

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

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

= ln (9 n) - ln (3^{2})

Apply log rule:

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

ln (9 n) - ln (3^{2}) = ln (\frac{9 n}{3 ^{2}})

= ln (\frac{9 n}{3 ^{2}})

Simplify

\frac{9 n}{3 ^{2}} : n

= ln (n)

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Frequently Asked Questions (FAQ)

What is ln(9n)-2ln(3) ?
The solution to ln(9n)-2ln(3) is ln(n)