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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Popular Examples

simplify log_{10}((xy^8)/(z^5))simplify

lo g_{10} (\frac{x y ^{8}}{z ^{5}})

simplify 2log_{10}(2)-log_{10}(3)simplify

2 lo g_{10} (2) - lo g_{10} (3)

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3 \cdot lo g_{10} (2) + lo g_{10} (x - 4)

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\frac{( ln ( 300 ) - ln ( 700 ) )}{20}

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ln (\frac{- 1}{- 5})

Frequently Asked Questions (FAQ)

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