Let r = In a, s = In b, t = In c. Rewrite the expression below in a form with no
ID: 2852640 • Letter: L
Question
Let r = In a, s = In b, t = In c. Rewrite the expression below in a form with no logarithm of a product, quotient or power. Then use some, or all, of the letters r, s, t to enter this new form of the logarithm in the answer blank. ln(a^7/b^4 square root c) = Let f (x) = x^2 + x In x. Use the Newton-Raphson method to approximate a relative extreme value of f. Continue until successive iterations obtained by calculator are identical. For your answer enter at least 5 decimal places. f has a relative value at x = The relative value of f is Let r = In x, s = In (x^2 + 5), t = In (x^4 + 3), u = In 5, v = In 3. Rewrite the expression below in a form with no logarithm of a product, quotient or power. Then use some, or all, of the letters r, s, t, u, v, and x to enter this new form of the logarithm in the answer blank. ln(e^6x/x(x^2 + 5)^8 (x^4 + 3)) =Explanation / Answer
1)ln(a7/(b4c))
ln(p/q)=ln p -lnq
ln(a7/(b4c)) =ln(a7) -ln(b4c)
ln(pq)=ln p +lnq
ln(a7) -ln(b4c)
=ln(a7) -[ln(b4)+ln(c)]
=ln(a7) -ln(b4)-ln(c)
=ln(a7) -ln(b4)-ln(c1/2)
ln pq= q ln p
=7ln(a) -4ln(b)-(1/2)ln(c)
=7r -4s-(1/2)t
3)ln(e6x/(x(x2+5)8(x4+3)))
ln(p/q)=ln p -lnq
=lne6x +ln(x(x2+5)8(x4+3)))
ln(pq)=ln p +lnq
=lne6x +lnx +ln(x2+5)8 +ln(x4+3)
ln pq= q ln p
=6xlne +lnx +8ln(x2+5) +ln(x4+3)
=6x*1 +r +8s +t
=6x +r +8s +t
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