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Popular >

simplify 4ln(x+6)-3ln(x)

Solution

simplify

4 ln (x + 6) - 3 ln (x)

Solution

ln (\frac{( x + 6 ) ^{4}}{x ^{3}})

Solution steps

4 ln (x + 6) - 3 ln (x)

Apply log rule:

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

4 ln (x + 6) = ln ((x + 6)^{4})

= ln ((x + 6)^{4}) - 3 ln (x)

Apply log rule:

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

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

= ln ((x + 6)^{4}) - ln (x^{3})

Apply log rule:

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

ln ((x + 6)^{4}) - ln (x^{3}) = ln (\frac{( x + 6 ) ^{4}}{x ^{3}})

= ln (\frac{( x + 6 ) ^{4}}{x ^{3}})

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Frequently Asked Questions (FAQ)

What is 4ln(x+6)-3ln(x) ?
The solution to 4ln(x+6)-3ln(x) is ln(((x+6)^4)/(x^3))