+0  
 
0
63
3
avatar

What is the intersection point of the graphs of these two functions? 

f(x)=1000*10x

g(x)=8*2x


I got up until f(x)= 103x

and g(x)= 23x

but I don't really know how to go further beyond that...

 Apr 22, 2023
edited by Guest  Apr 22, 2023
 #1
avatar
0

The graphs of the functions f(x)=1000∗10^x and g(x)=8∗2^x intersect when 1000∗10^x=8∗2^x. Dividing both sides by 2^x, we get 500∗10=4∗2^x. Dividing both sides by 4, we get 125∗5=2^x. Taking the logarithm of both sides, we get x=log2​(125∗5). Evaluating this logarithm in base 2, we get x=4. Therefore, the intersection point of the graphs is (4,1024).

 Apr 22, 2023
 #2
avatar+49 
+1

If you look on desmos, the answer is (-3,1)

RonnieChen  Apr 23, 2023
 #3
avatar
0

Thank you so much for answering!!!! 

 Apr 27, 2023

1 Online Users