Suppose that hilbert’s grand hotel is fully occupied on the day the hotel expands to a second building which also contains a countably infinite number of rooms. show that the current guests can be spread out to fill every room of the two buildings of the hotel.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

beluga wheeeaaalle matt

step-by-step explanation:

step-by-step explanation: