David has already written 16 pages, and he expects to write 0.5 pages for every additional hour spent writing. How many hours will David have to spend writing this week in order to have written a total of 24 pages?

16 hours

Step-by-step explanation: Find the remaining number of pages David must write

24-16=8

Daniel must write 8 more pages

Find how long it takes Daniel to write one page

Since it takes Daniel an hour to write half a page, it takes him two hours to write a full page

Multiply how long one page takes by the remaining number of pages

2 x 8=16

It will take 16 more hours to write the total of 24 pages

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: