Answer:
Yes, base [tex]=\frac{9}{10}[/tex]
Step-by-step explanation:
An exponential function with base b is defined by [tex]f(x)=a\cdot b^x,[/tex] where [tex]a\neq 0, b > 0 , b\neq 1,[/tex] and x is any real number. The base, b, is constant and the exponent, x, is a variable.
You are given the function
[tex]f(x)=\left(\dfrac{9}{10}\right)^x[/tex]
So,
[tex]a=1,\ a\neq 0\\ \\b=\dfrac{9}{10},\ b\neq 1,\ b>0[/tex]
So, this function is exponential function with the base [tex]\frac{9}{10}[/tex]