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Popular >

simplify 9ln(x-2)-5ln(x)

Solution

simplify

9 ln (x - 2) - 5 ln (x)

Solution

ln (\frac{( x - 2 ) ^{9}}{x ^{5}})

Solution steps

9 ln (x - 2) - 5 ln (x)

Apply log rule:

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

9 ln (x - 2) = ln ((x - 2)^{9})

= ln ((x - 2)^{9}) - 5 ln (x)

Apply log rule:

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

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

= ln ((x - 2)^{9}) - ln (x^{5})

Apply log rule:

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

ln ((x - 2)^{9}) - ln (x^{5}) = ln (\frac{( x - 2 ) ^{9}}{x ^{5}})

= ln (\frac{( x - 2 ) ^{9}}{x ^{5}})

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Frequently Asked Questions (FAQ)

What is 9ln(x-2)-5ln(x) ?
The solution to 9ln(x-2)-5ln(x) is ln(((x-2)^9)/(x^5))