Answer:
Step-by-step explanation:
Method 1: Taking the log of both sides...
So take the log of both sides...
5^(2x + 1) = 25
log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...
(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...
(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...
(2x)log 5 + log 5 - log 5 = log 25 - log 5
(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)
(2x)log 5 = log 5 <-- divide both sides by log 5
(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..
2x = 1
x=1/2
Method 2
5^(2x+1)=5^2
2x+1=2
2x=1
x=1/2
Last option is the correct answer.
Step-by-step explanation:
Given that
Let x stand for the solution a and y stand for the solution B
So,
According to statement that
30 gallons have to be made

Solution A contains 29 percent bromine => 0.29x
Solution B contains 53 percent =>0.53y
And the mixture of 30 gallons contains 45% bromine

Following equations will be used for solving the problem

Hence,
Last option is the correct answer.
Keywords: Equations, Variables
Learn more about linear equations at:
#LearnwithBrainly
Answer:
It would be a profit of .35 cents
Step-by-step explanation:
Answer:
A) A dilation followed by a reflection.
Step-by-step explanation:
I went over this in class the other day. (: