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Popular >

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

Solution

simplify

8 ln (x + 8) - 8 ln (x)

Solution

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

Solution steps

8 ln (x + 8) - 8 ln (x)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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