Question

I’m doing this assignment called solving logarithmic equations and got stuck on this question

Answer 1

Here are the steps in solving the value of x in the equation.

1. Subtract 4 on both sides of the equation.

`\begin{gathered} 4+(9\text{ }ln\text{ }x)-4=15.8-4 \\ 9\text{ }ln\text{ }x=11.8 \end{gathered}`

2. Divide both sides of the equation by 9.

`\frac{9\text{ }ln\text{ }x}{9}=(11.8)/(9)\Rightarrow ln\text{ }x=1.31111`

3. By definition of natural logarithm:

`ln\text{ }x=y\Leftrightarrow e^y=x`

We can rewrite ln x = 1.3111 as:

`e^(1.31111)=3.71`

Therefore, the value of x is 3.71. (Option D).