Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:
At the 13th day, the mass is given by:
More can be learned about exponential functions at brainly.com/question/25537936
I guess the original expression is 125 = 5^x
If you apply logarithms to both sides, you get:
log (125) = x * log (5) <----------- logaritmic equation
=> x = log (125) / log(5)
Given that 125 is 5^3
you can simplify to
x = log (5^3) / log(5) = 3 log (5) / log (5) = 3 * 1 = 3
There you have the expression as a logarithmic equation and the solution of the equation.
The answers are
a) the domain is all real numbers
d) the input to an exponential function is the exponent
e) the base represents the multiplicative rate of change
hope this helps :)
Height of the cone having volume as 
and base area 
is 6 cm.
Solution:
Given that volume of cone = 
Area of base =
Need to determine height of the cone.
Formula for volume of the cone is as follows
Area of circular base of cone = 
Replacing 
in equation (1), we get
In our case Volume of cone 
and Area of base 
On substituting the values of volume and area in equation 2 we get
