Qualify the following statements as \"I\" (for true) or \"F\" (for false) you do
ID: 2896437 • Letter: Q
Question
Qualify the following statements as "I" (for true) or "F" (for false) you do not have to given any reasons nor show any work. Each right answer is point, each wrong answer is- I point, and each blank is work 0 points.
a.) The function f(x)=2^x+1 is exponential.
b.) For any real number x,(x-1)^2= x^2+1.
c.) If In (x) =5, then In (x^3)=15
d.) If In (x) =5, then In (3x)=15
e.) It is possible for the graph of an exponential function to contain the points (0,5), (2,12), and (4,19)
f.) If a > 0 then log 10 (1000a^2)= 3+2 log 10 (a),
g.) If a,b are positive real numbers, then log ln(a)/ln(b)=ln(a)-ln(b)
h.) log3 (9)=3
i.) If log b(5)=x and log b(3)=y, then log b( square of 45)= 1/2x+y.
j.) (3+5i)-(9-2i)=-6+3i.
Explanation / Answer
(a) F
(b) I , put x=0
(c) l , ln(x^3)=3 ln(x)
(d) F
(e) F
(g) F , log(ln(a)/ln(b))=log(ln(a))-log(ln(b))
(h) F , because 3^2=9 so, log39=2
(i) F , logb(45^2)=2logb45=2logb(5*3^2)=2 (logb(5)+logb5(3^2)) = 2 (x+2y)
(j) F , (3+5i)-(9-2i) = -6 + 7i