If 27^x=9/3^x ,then the value of x is
1 answer:
Answer:
x = 0.5
Step-by-step explanation:
Well, we have in this case a exponent equation
Factoring 27 =
Our new equation is:
Applying the property of exponents, on the right we'll have just like that:
now, it's easy to solve this equation. You must solve 3x = 2 - x because the basis of these exponents are equal.
3x = 2 - x
3x + x = 2
4x = 2
x = 1/2 or 0.5
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The amount of the radioactive material in the vault after 140 years is 210 pounds
<h3>How to determine the amount</h3>We have that the function is given as a model;
f(x) = 300(0.5)x/100
Where
- x = number of years of the vault = 140 years
- f(x) is the amount in pounds
Let's substitute the value of 'x' in the model
f(x) = 300(0.5)x/100
f(140) = 210 pounds
This mean that the function of 149 years would give an amount of 210 pounds rounded up to the nearest whole number.
Thus, the amount of the radioactive material in the vault after 140 years is 210 pounds
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