The old sage inn offers a special dinner menu each night. there are two appetizers to choose from, three main courses, and four desserts. a customer can select one item from each category. how many different meals can be ordered from the special dinner menu? select one:
a. 9
b. 3
c. 24
d. 63

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: