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Popular >

simplify 3ln(x+4)-ln(x)

Solution

simplify

3 ln (x + 4) - ln (x)

Solution

ln (\frac{( x + 4 ) ^{3}}{x})

Solution steps

3 ln (x + 4) - ln (x)

Apply log rule:

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

3 ln (x + 4) = ln ((x + 4)^{3})

= ln ((x + 4)^{3}) - ln (x)

Apply log rule:

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

ln ((x + 4)^{3}) - ln (x) = ln (\frac{( x + 4 ) ^{3}}{x})

= ln (\frac{( x + 4 ) ^{3}}{x})

Popular Examples

simplify log_{10}((4x)/y)simplify

lo g_{10} (\frac{4 x}{y})

expand log_{10}((x^{15}y^{13})/(z^{19)})expand

lo g_{10} (\frac{x ^{15} y ^{13}}{z ^{19}})

simplify log_{3}(y)-log_{3}(4)simplify

lo g_{3} (y) - lo g_{3} (4)

expand log_{b}((x^2y)/(z^3))expand

lo g_{b} (\frac{x ^{2} y}{z ^{3}})

simplify ln(21/31)simplify

ln (\frac{21}{31})

Frequently Asked Questions (FAQ)

What is 3ln(x+4)-ln(x) ?
The solution to 3ln(x+4)-ln(x) is ln(((x+4)^3)/x)