What is the solution set of {x|x<-3} intersection {x|x>5}?
1 answer:
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Answer:
To help in solving exponential equations when relating the bases cannot be used
Step-by-step explanation:
Recall an equation of the form
from the expression
,
is the base and the power is
.
it is impossible to carryout the operation since the bases are not equal.
This is where we implore the help of logarithm which help us to bring the base to a come base i.e using the property below
.
Hence we can conclude that logarithm helps in solving equations when bases cannot easily be related.
Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence
.
- For the 3 numbers, there are 10 outcomes, hence
Then:
17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at brainly.com/question/24314866