<span>Combine the logarithms first: log5(4x+3)-log5(x-1). Since it's subtract, divide the two.
log5((4x+3)/(x-1))=2
Make both sides the exponent of five. 5^log5 cancels out.
5^(log5(4x+3/x-1))=5^2
4x+3/x-1=25
Multiply both sides by (x-1) to get rid of it under 4x+3.
(x-1)4x+3/x-1=25(x-1)
4x+3=25x-25
Now subtract 4x from both sides AND add 25 to both sides. This way you'll have all the x's by itself.
28=21x
Divide both sides by 21.
28/21=x
x=1.33333333333...
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Answer: D
Step-by-step explanation:
The construction of a triangle tangent to the three sides would require the construction of the incircle.
Answer:
There is none
Step-by-step explanation:
You've been bamboozled. It isn't a function if the same x-value has 2 different y-values.
There is no equation to your line
Answer:
1/8, 1/12, 1/24, 1/100, and so on there are a lot
Step-by-step explanation:
Answer:
x = 23
Step-by-step explanation:
The exterior angle = sum of the 2 opposite interior angles, hence
2x + 3 + 51 = 100
2x + 54 = 100 ( subtract 54 from both sides )
2x = 46 ( divide both sides by 2 )
x = 23