QUESTIONS - ANGELA - LOGS AND EXPONENTS

QUESTIONS - ANSWERS - ANGELA - LOGS AND EXPONENTS


Angela has left a new comment on your post "QUESTIONS - HOPE - FUNCTIONS":

Hello. Do you mind telling me if I got these 2 correct? Thanks! Solve the following for x = -3 and tell what kind of function it is. 0.1^x -.001. This is an exponential function. Solve the following for x = 3 and tell why ‘e’ is an irrational number. e^x 20.0855 This is irrational because the number doesn’t terminate or repeat.



DO YOU MEAN
0.1^X=0.001…IF SO
X=3 IS CORRECT ANSWER AS
0.1^3 = 0.1*0.1*0.1=0.001
IF YOU MEANT
0.1^(-X)= 0.001…THEN
(1/10)^(-X)= 0.001
10^X = 0.001
X=-3…..SINCE 10^(-3) = 1/10^3=1/1000=0.001
YES IT IS AN EXPONENTIAL FUNCTION.

E^3 = 20.0855 IS CORRECT.
YOUR EXPLANATION ON ‘E’ IS ALSO OK.