Condene the logarithms on the left side by applying the property, ln(<em>a</em>) - ln(<em>b</em>) = ln(<em>a</em> / <em>b</em>):
ln(<em>x</em> - 2) - ln(<em>x</em> - 3) = 1
→ ln((<em>x</em> - 2) / (<em>x</em> - 3)) = 1
Now take the exponential of both sides:
exp(ln((<em>x</em> - 2) / (<em>x</em> - 3))) = exp(1)
(<em>x</em> - 2) / (<em>x</em> - 3) = <em>e</em>
Solve for <em>x</em> :
<em>x</em> - 2 = <em>e</em> (<em>x</em> - 3)
<em>x</em> - 2 = <em>e x</em> - 3<em>e</em>
<em>x</em> - <em>e x</em> = 2 - 3<em>e</em>
(1 - <em>e</em>) <em>x</em> = 2 - 3<em>e</em>
<em>x</em> = (2 - 3<em>e</em>) / (1 - <em>e</em>) ≈ 3.582
5x - 3y = 9
5x = 9 + 3y
5x - 9 = 3y
( 5x - 9 ) / 3 = y
y = ( 5 / 3x ) - ( 9 / 3 ) ( I just split the common denominator to individual parts )
y = 5 / 3x - 3
Answer:
15 black marbles
Step-by-step explanation:
So its. A ratio (basically a fraction)
3/2
we add them up so we know how much marbles but not which kind
so we get 5
now we know for every 5 batches there is 3 black and 2 red
so we divide 25/5 to get 5
now we know there are 5, 5 batches of black ad red marbles.
now black is 3 of them so we multiply 5(3) which is 15
Now red is 2 of them so we multiply 5(2). Which is 10
now to check, if we add them up, they equal to 25 which is correct.
basically add the fraction, divide that by the original number, time the quotient by each number in the fraction.
Answer:
False
Step-by-step explanation:
The surface area of the cone is
The surface area of the cylinder is:
