Question

I'm having a problem with logarithms I will upload a photo

Answer 1

Step 1 :

In this question, we are asked to solve the equation:

`In\text{ ( 4 x + 4 ) = 2}`

Step 2 :

Now, taking the exponents of both sides, we have that:

`\begin{gathered} e^{In\text{ ( 4 x + 4 ) }}=e^2 \\ 4x+4=e^2 \\ \text{But e}^2\text{ = 7.3891 ( to 4 decimal places )} \\ 4\text{ x + 4 = 7. 3891} \\ \text{ 4 x = 7. 3891 - 4} \\ \text{4 x = 3.3891} \\ \text{Divide both sides by 4 , we have that:} \\ x\text{ = }(3.3891)/(4) \\ x\text{ = 0.847275} \\ \text{x = 0.8473( to 4 decimal places)} \end{gathered}`