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Popular >

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

Solution

simplify

3 ln (x + 3) - 3 ln (x)

Solution

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

Solution steps

3 ln (x + 3) - 3 ln (x)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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