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Popular >

simplify 5ln(x+9)-3ln(x)

Solution

simplify

5 ln (x + 9) - 3 ln (x)

Solution

ln (\frac{( x + 9 ) ^{5}}{x ^{3}})

Solution steps

5 ln (x + 9) - 3 ln (x)

Apply log rule:

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

5 ln (x + 9) = ln ((x + 9)^{5})

= ln ((x + 9)^{5}) - 3 ln (x)

Apply log rule:

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

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

= ln ((x + 9)^{5}) - ln (x^{3})

Apply log rule:

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

ln ((x + 9)^{5}) - ln (x^{3}) = ln (\frac{( x + 9 ) ^{5}}{x ^{3}})

= ln (\frac{( x + 9 ) ^{5}}{x ^{3}})

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Frequently Asked Questions (FAQ)

What is 5ln(x+9)-3ln(x) ?
The solution to 5ln(x+9)-3ln(x) is ln(((x+9)^5)/(x^3))