I solved the problem step by step.Please feel free to comment if you have doubt in any step.Please up vote if you understand the solution. Thank you.
Expand. Use * to indicate multiplication. 4 log(x) – 5 log(y) + 2 log(z))
Given that log x=2, log y = 4, and log 3-0.5, evaluate the following expression without using a calculator log (3x?y) log (3x?y) - (Type an integer or a decimal.) o Enter your answer in the answer box Type here to search c W
10) Use number 9 to graph the function g (x) = 3 log3 x. Don't forget the asymptote. 10 8 y X 4 2 -10-8 -6-4 -2 2 468 10 -2 4 -6 -8 -10 CO 10) Use number 9 to graph the function g (x) = 3 log3 x. Don't forget the asymptote. 10 8 y X 4 2 -10-8 -6-4 -2 2 468 10 -2 4 -6 -8 -10 CO
6. Find the value of y a. log, 3) = y b. log, = y log (1125) = y d. 10° = y 15 =y 1 e 50 9. 200 7. Given the function and t f(0) = 2 g(x) = 5* Draw the 2 function. Which one grows faster with increasing & 8. Plot f(x) = log, (x) = y log2 (L) =y and g(x) =
4. Assume that the utility function of a given agent is given by: U(X,Y) = log X + Blog Y. And that this agent faces the following vector of prices: (10, 8) and that his income is 100. What should be the optimal consumption of X and Y for this specific agent? (assume perfect divisibility of goods)
arctan log (?)) for any r > 1: Problem 4. Given that y = y(x) a) Evaluate r = *(y) at y = /4; b) Evaluate da/dy at y = 0.
5. Use log differentiation to find the derivative of y = (x² + 1)*(x + 2) x(5x – x3) 10
Use the function below to answer the following questions. y = -log, x (a) Use transformations of the graph of y = log, x to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
Find dy/dx of the next relations 16) y e'B 17) y VB 18) y [e'(B] e (Br) are cos(x) 19) y 20) y [e [5 ] 21)y [log(arctan x)] [logs(arccot x)] 16) y e'B 17) y VB 18) y [e'(B] e (Br) are cos(x) 19) y 20) y [e [5 ] 21)y [log(arctan x)] [logs(arccot x)]
cy1 Find the domain of the function. 2)fs)-logs(4 -x2) C)1-2,21 x +8 3) t)-10g10 C) ,8) Solve the equation. 34) log3 (x2- 2x)- 1 B) 13,-1 ) 13) 35) e3x 7 In 3 3 A) B)(3 In7] Solve the exponential equation. Express the solution set in terms of natural log