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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Answer:
why does this hurt my head so much
Step-by-step explanation:
Answer:
Sam earns more money than Doug in an year
Step-by-step explanation:
The complete question is -
Sam manages a clothing boutique and has an annual salary of $23600. Doug works in a shoe store and is paid 9.40/h for 40 hours each week. Who has the higher gross income each month?
Solution -
Sum of money (in dollars) earned by Doug in one week is equal to
Sum of money (in dollars) earned by Doug in one year is equal to
Hence, Sam earns more money than Doug in an year
Answer:
3712
Step-by-step explanation:
