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Popular >

simplify 7ln(x+7)-9ln(x)

Solution

simplify

7 ln (x + 7) - 9 ln (x)

Solution

ln (\frac{( x + 7 ) ^{7}}{x ^{9}})

Solution steps

7 ln (x + 7) - 9 ln (x)

Apply log rule:

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

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

= ln ((x + 7)^{7}) - 9 ln (x)

Apply log rule:

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

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

= ln ((x + 7)^{7}) - ln (x^{9})

Apply log rule:

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

ln ((x + 7)^{7}) - ln (x^{9}) = ln (\frac{( x + 7 ) ^{7}}{x ^{9}})

= ln (\frac{( x + 7 ) ^{7}}{x ^{9}})

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Frequently Asked Questions (FAQ)

What is 7ln(x+7)-9ln(x) ?
The solution to 7ln(x+7)-9ln(x) is ln(((x+7)^7)/(x^9))