How do you find the exponential function f(x)= a^x whose graph goes through the point (3, 1/125)?
Please see the explanation.
Use the logarithm of your favorite base on the function (My favorite is the natural logarithm but base 10 works just as well):
Use the identity ln(a^x) = (x)ln(a):
Divide both sides by x and flip the equation:
Make both sides exponents of the base e:
Use the identity
Substitute 3 for x and 1/125 for
If you prefer a fraction: