Answer:
Error:
not ![ln\frac{3x}{0}](https://tex.z-dn.net/?f=ln%5Cfrac%7B3x%7D%7B0%7D)
Solution:x=0 and 3
Step-by-step explanation:
We have to find the error and correct answer
Given:![2ln x=ln(3x)-[ln9-2ln(3)]](https://tex.z-dn.net/?f=2ln%20x%3Dln%283x%29-%5Bln9-2ln%283%29%5D)
![lnx^2=ln(3x)-[ln9-ln3^2]](https://tex.z-dn.net/?f=lnx%5E2%3Dln%283x%29-%5Bln9-ln3%5E2%5D)
Using the formula
![alog b=logb^a](https://tex.z-dn.net/?f=alog%20b%3Dlogb%5Ea)
![lnx^2=ln(3x)-[ln9-ln9]](https://tex.z-dn.net/?f=lnx%5E2%3Dln%283x%29-%5Bln9-ln9%5D)
![lnx^2=ln(3x)-0](https://tex.z-dn.net/?f=lnx%5E2%3Dln%283x%29-0)
![lnx^2=ln(3x)](https://tex.z-dn.net/?f=lnx%5E2%3Dln%283x%29)
![x^2=3x](https://tex.z-dn.net/?f=x%5E2%3D3x)
![x^2-3x=0](https://tex.z-dn.net/?f=x%5E2-3x%3D0)
![x(x-3)=0](https://tex.z-dn.net/?f=x%28x-3%29%3D0)
Therefore, x=0 and x=3
But last step in the given solution
![lnx^2=ln\frac{3x}{0}=\infty](https://tex.z-dn.net/?f=lnx%5E2%3Dln%5Cfrac%7B3x%7D%7B0%7D%3D%5Cinfty)
It is wrong this property is used when
then
![log\frac{m}{n}](https://tex.z-dn.net/?f=log%5Cfrac%7Bm%7D%7Bn%7D)
Hence, the student wrote
instead of
and solution is given by
x=0 and x=3
Answer:
12,9
Step-by-step explanation:
You multiply straight across, and one number is a fraction and the other is not.
Answer:
Step-by-step explanation:
Part A: 15
Part B: $125