This is the concept of algebra, we are required to solve the given expression;
32^(2c)=8^(c+7)
this can be written as:
2^[5(2c)]=2^[3(c+7)
applying the natural logs we shall get
[5(2c)]ln2=[3(c+7)]ln2
The ln 2 will cancel on from both sides and we shall have:
5(2c)=3(c+7)
10c=3c+21
To make c the subject we begin by subtracting 3c from both sides
10c-3c=3c+21-3c
7c=21
dividing both sides by 7 we get:
(7c)/7=21/7
c=3
The answer is c=3
Answer:
-5/4 or -1.25 or -1 1/4
Step-by-step explanation:
If you change to feet then you have 6 feet divide that by 5 and you have each piece is 1.2 feet long.
Answer:
Kevin must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime.
Step-by-step explanation:
Given : Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. 100% lesson juice should he add to a juice mixture that is 40% lemon juice and 60% lime juice to make 6 gallons of the 50% lemon 50% lime juice mixture.
To find : How much 100% lesson juice should he add to a juice mixture.
Solution :
According to question, we wants to make mixture where lemon = lime
We have to make 6 gallons, where
40% lemon juice require to make 6 gallon
i.e, 
and 60% lime juice require to make 6 gallon
i.e, 
Now, to make them equal subtract both of them

Therefore, he must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime.
Answer:
This is mode defined
Step-by-step explanation: