Given the exponential function f(x)=2^x. Explain how to convert this equation to a logarithmic function when f(x)=8 to solve for x.

x=3

Step-by-step explanation:

Exponential Equations

The exponential function is the inverse of the logarithmic function. To solve exponential equations, we can use the logarithmic properties to isolate the variable.

The equation to solve is

Since x is an exponent, it's not possible to isolate it directly. We should take logarithms on both sides of the equation:

We haven't specified the base of the logarithm because it's not important for this equation to be solved. However, let's assume base-10 logs.

Rewriting the equation, we have

Applying the power rule of logarithms

Simplifying by log2

y-1700=200(x+4)

step-by-step explanation:

200(x+4) is 200x + 800 she is saving 200 per week x is the weeks and the -1700 is. us that’s howmuch she already had