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Popular >

simplify 9ln(u)-2ln(7)

Solution

simplify

9 ln (u) - 2 ln (7)

Solution

ln (\frac{u ^{9}}{49})

Solution steps

9 ln (u) - 2 ln (7)

Apply log rule:

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

9 ln (u) = ln (u^{9})

= ln (u^{9}) - 2 ln (7)

Apply log rule:

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

2 ln (7) = ln (7^{2})

= ln (u^{9}) - ln (7^{2})

Apply log rule:

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

ln (u^{9}) - ln (7^{2}) = ln (\frac{u ^{9}}{7 ^{2}})

= ln (\frac{u ^{9}}{7 ^{2}})

7^{2} = 49

= ln (\frac{u ^{9}}{49})

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Frequently Asked Questions (FAQ)

What is 9ln(u)-2ln(7) ?
The solution to 9ln(u)-2ln(7) is ln((u^9)/(49))