Question

what is the range of this function?

Answer 1

what is the range of the function
\[y = 2^{x + 3} - 3\]

Answer 2

does it help to know that \(2^x>0\) always ?

Answer 3

when x goes to minus infinity y goes to -3, but never reach it
also when x goes to infinity y also goes to it , so the range is (-3,infinity)

Answer 4

thank you @ahmad1 could you help me with another?

Answer 5

bring it :)

Answer 6

how do i find the solution of
\[(2.4)^{x} = 9\]

Answer 7

take log 2.4 for both sides to find that \[x= \log_{2.4}9 \]

Answer 8

but you will have a small problem in the MCQS if it's one of them ,is it?

Answer 9

MCQS?

Answer 10

multiple choices question

Answer 11

it's a true or false question, the question is whether or not the solution is approximately 3.75

Answer 12

I think this is far away of being an answer to me :\
\[2.4^{3.75}=\frac{ 24^{3.75} }{ 10^{3.75} }\] is not too close to 9 in my opinion , it's about 25 actually

Answer 13

thanks for the help, i'll just put false

Answer 14

you are welcome :)

Answer 15

\[2.4^x=9\iff x=\frac{\ln(9)}{\ln(2.4)}\] and a calculator