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:
n>-5
Step-by-step explanation:
Answer:
Therefore the y-intercept of f(x) is equal to the y-intercept of g(x) ....
Step-by-step explanation:
For the given function f(x) = −3(1.02)^x
The y-intercept can be determined when x = 0
f(0)= -3(1.02)^0
f(0)= -3(1)
f(x)= -3
f(x) has a y-intercept at (0,-3)
g(x) has a y intercept at (0, -3)
Therefore the y-intercept of f(x) is equal to the y-intercept of g(x) ....
The solutions would be x1=-6 and x2= 1
