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Popular >

simplify 3ln(x+6)-7ln(x)

Solution

simplify

3 ln (x + 6) - 7 ln (x)

Solution

ln (\frac{( x + 6 ) ^{3}}{x ^{7}})

Solution steps

3 ln (x + 6) - 7 ln (x)

Apply log rule:

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

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

= ln ((x + 6)^{3}) - 7 ln (x)

Apply log rule:

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

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

= ln ((x + 6)^{3}) - ln (x^{7})

Apply log rule:

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

ln ((x + 6)^{3}) - ln (x^{7}) = ln (\frac{( x + 6 ) ^{3}}{x ^{7}})

= ln (\frac{( x + 6 ) ^{3}}{x ^{7}})

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Frequently Asked Questions (FAQ)

What is 3ln(x+6)-7ln(x) ?
The solution to 3ln(x+6)-7ln(x) is ln(((x+6)^3)/(x^7))