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Popular >

simplify 8ln(x+9)-4ln(x)

Solution

simplify

8 ln (x + 9) - 4 ln (x)

Solution

ln (\frac{( x + 9 ) ^{8}}{x ^{4}})

Solution steps

8 ln (x + 9) - 4 ln (x)

Apply log rule:

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

8 ln (x + 9) = ln ((x + 9)^{8})

= ln ((x + 9)^{8}) - 4 ln (x)

Apply log rule:

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

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

= ln ((x + 9)^{8}) - ln (x^{4})

Apply log rule:

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

ln ((x + 9)^{8}) - ln (x^{4}) = ln (\frac{( x + 9 ) ^{8}}{x ^{4}})

= ln (\frac{( x + 9 ) ^{8}}{x ^{4}})

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Frequently Asked Questions (FAQ)

What is 8ln(x+9)-4ln(x) ?
The solution to 8ln(x+9)-4ln(x) is ln(((x+9)^8)/(x^4))