If y=8(5)^x then write ln y as a linear function of x
I don't know how to do this.??
To write ln y as a linear function of x, we need to use the property of logarithms that states ln(a^b) = b * ln(a).
Given the equation y = 8(5)^x, we can rewrite it as y = 8e^(xln5), where e is the base of the natural logarithm.
Taking the natural logarithm of both sides of the equation gives us ln y = ln (8e^(xln5)).
Using the property of logarithms mentioned earlier, we can simplify this expression as ln y = ln 8 + xln 5.
Thus, we have written ln y as a linear function of x: ln y = ln 8 + xln 5.