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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Popular Examples

ln ((sin (x))^{3})

simplify 20*log_{10}((x*2pi*628.32)/((10*0.02)))simplify

20 \cdot lo g_{10} (\frac{x \cdot 2 π \cdot 628.32}{( 10 \cdot 0.02 )})

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

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

simplify 1/6*ln(1/(9^3))simplify

\frac{1}{6} \cdot ln (\frac{1}{9 ^{3}})

expand log_{10}(zy^3)expand

lo g_{10} (z y^{3})

Frequently Asked Questions (FAQ)

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