Question

Rewrite the equation in terms of base e. Express the answer in terms of a natural logarithm. Y= (type an exact answer)There are two parts to this question

Answer 1

Step-by-step explanation:

Here, we want to express the given equation in terms of base e

Mathematically, we start by taking the log to base e(ln) of both sides

We have that as:

`\begin{gathered} ln\text{ y = ln\lparen4.1\lparen0.8\rparen}^x\text{\rparen}^ \\ ln\text{ y = ln 4 + ln 0.8}^x \\ ln\text{ y = ln 4 + xln0.8} \\ \end{gathered}`

We proceed as follows:

`Log\placeholder{⬚}_ey\text{ =Log}_e4\text{ + xLog}_e8`