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
6 ^ 2- 13(6) +42/ -5(6)^2+37(6)-42
36- 78+ 42/ -30^2+222-42
0/ 900+222-42
0/1,080
anything divided by 0 is 0
Answer:
Step-by-step explanation:
2+2=4
X- the number of pumpkin she had initially
she gave you x/2
x-x/2=x/2
(x/2)/2=x/4(she gave Coral)
x/2-x/4=x/4
x/4=6
x=24
Answer:
The change in temperature per minute for the sample, dT/dt is 71. °C/min
Step-by-step explanation:
The given parameters of the question are;
The specific heat capacity for glass, dQ/dT = 0.18 (kcal/°C)
The heat transfer rate for 1 kg of glass at 20.0 °C, dQ/dt = 12.9 kcal/min
Given that both dQ/dT and dQ/dt are known, we have;
Therefore, we get;
For the sample, we have the change in temperature per minute, dT/dt, presented as follows;