Question

Solve for x:3^x-5=7

Answer 1

2.26

Step-by-step explanation:

Given the below;

`3^x-5=7`

The 1st step to solving the above is to add 5 to both sides of the equation;

`\begin{gathered} 3^x-5+5=7+5 \\ 3^x=12 \end{gathered}`

The next step is to take the logarithm of both sides;

`\begin{gathered} \log 3^x=\text{log}12 \\ x\log 3=\log 12 \end{gathered}`

The final step is to divide both sides by log 3;

`\begin{gathered} x=(\log 12)/(\log 3) \\ x=2.26 \end{gathered}`