Answer:
Depending on what the equation is (see below for options) answers are:
[tex]\frac{log1}{log\frac{3}{8}} = x[/tex] or -1,1=x
Step-by-step explanation:
Two possibilities are present:
- The base of an exponential function is the number raised to an exponent of x. [tex]f(x) = 3(3/8)^x[/tex]. The base here is 3/8. To find when f(x) = 3, then substitute and solve. [tex]3=3(\frac{3}{8})^x\\1=(\frac{3}{8})^x\\log 1 = log \frac{3}{8}^x\\\frac{log1}{log\frac{3}{8}} = x[/tex]
- If this is a quadratic function then it has a base of x. [tex]f(x) = 3(x)^2[/tex]. To find when f(x) = 3 then substitute and solve. [tex]3=3(x^2)\\1=x^2\\1,-1=x[/tex]
