Question

Hi, I was absent today in class and I really need help with question 4I will be much appreciated if you show work and the step so I can be more understanding thank you!

Answer 1

4.

$4.83^x=29.1$

We can use logarithms to solve this problem.

Start by taking the common logarithm of each side:

$\log (4.83^x)=\log (29.1)$

Apply the power property of logarithms:

$x\cdot\log (4.83)=\log (29.1)$

And solve for x:

$\begin{gathered} x=\frac{\log 29.1}{\log 4.83}=\frac{1.46}{0.68} \\ x=2.14 \end{gathered}$