2Solve, ln(4x)-ln(2)=2ln(6)-ln(3)
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Rewrite the expression as a single logarithm ln A. ln(8)+ 2ln(x)+ 3ln(x^2+5) A=?
write each as a single logarithm 1/2ln(x2+1)-4ln1/2-1/2[ln(x-4)+ln x]
Rank the following functions in terms of asymptotic growth. Please, explain your answer using limits. √n*ln(n) ln(ln(n^2)) 2ln^2(n) n! n0.001 22ln(n) (ln(n))!
Find the intergral St-st-tox) dx a) 2ln (x1 - 25 6 6x t6 6xxt C.) 2 ln/x/+25 3 3 2 +30 6x to | b.) se FC
4 a) joy, using, implicit differentakel 6) If y = (4x+5) - ² + ln (4x+6) - ex-8 then sind go (derivative of
Consider the function y=ln(2)(-4x+3)(2^3x-2x^2) 1. What is the general expression of the elasticity in terms of x? 2. What value does the elasticity actually have when x=4?
Question3 Expand the given expression. Type th 4 In A) 12In(x +1)+ 20 In( 1) -2ln( B) 4 ln
Solve the following using Optimization 1) Using substitution: U = 2 ln(x) + ln(y) s.t. 2x + y = 20 2) Using LaGrangian: U = √x + ln(y) s.t. x+y=10 3) Using both: U = 5 ln(x) + 3 ln(y) s.t. 4x + 3y = 100
Question 1 Solve the following equation for In(x + 1) + 2ln(x - 2) = n(3-5) HINT: Be sure to check your answers, Answers should be exact or correct to the nearest thousandth place value.
Differentiate the function ??(??) = ??4 ln(5??) + ln ( 3??+2
2??−3 )
3x+2 Differentiate the function f(x) = x4 ln(5x) + In 2x-3 For full credit show each step. You do not need to simplify the answer. (10 points)