The given logarithmic equation solved for x is x = 10
<h3>Solving Logarithmic equations</h3>
From the question, we are to solve the given logarithmic equation.
The given logarithmic equation is
log((4x)/(8)) = log(x - 5)
To solve the given logarithmic equation, we will determine the value of the unknown variable.
The unknown variable in the equation is x.
From one of the rules of logarithm, we have that
If logₓY = logₓZ
Then,
Y = Z
Thus,
From log((4x)/(8)) = log(x - 5)
We can write that
(4x)/(8) = (x - 5)
Now, solve for x
(4x)/(8) = (x - 5)
Multiply both sides by 8
8 × (4x)/(8) = (x - 5) × 8
4x = 8x - 40
Subtract 8x from both sides of the equation
4x - 8x = 8x - 8x - 40
-4x = -40
Multiply both sides by -1
-1 × -4x = -1 × -40
4x =40
Divide both sides by 4
4x/4 = 40/4
x = 10
Hence, the solution of the equation is x = 10
Learn more on Solving logarithmic equation here: brainly.com/question/237323
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She would need $5.64
(Not sure if correct but this is what I got)
Answer:
She paid $29.29
Step-by-step explanation:
Finding 7% of 25
Y is 7% of 23.2
Solving our equation for Y
Y = P% * X
Y = 7% * 23.2
Converting percent to decimal:
p = 7%/100 = 0.07
Y = 0.07 * 23.2=1.624
Y ≅ 1.62
Finding 18% of 25
Y is 18% of 23.2
Solving our equation for Y
Y = P% * X
Y = 18% * 23.2
Converting percent to decimal:
p = 18%/100 = 0.18
Y = 0.18 * 23.2= 4.176
Y≅4.18
Add sales tax and tip to 25
25+4.18+1.62= 30.8
But since my answers were estimated to a different way, I would say it s best to say it is d.29.29
this can be solved by establishing system of
eqution:
let x be the amount of 25 % acid soln needs to
be drained
y is the amount of 70% acid solution
first equation:
<span>(100 – x) + y
= 100</span>
Second equation
0.25(100 – x ) + 0.7y = 0.60(100)
Solving the system of equation
<span>X = 77.78 g of 25 % acid solution is needed to
be drained</span>
Answer:
Rounding out we have that 15 liters equals 3.96 gallons
Step-by-step explanation:
I hope this halp
