Answer:
The error is at step (3) .
The correct step (3) will be,

=  [by using the laws of indices]
   [by using the laws of indices]
All other steps are correct.
Step-by-step explanation:
The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by  assuming the property does hold before proving it. So, the proof is fallacious.
The correct step (3) will be,

=  [by using the laws of indices]
   [by using the laws of indices]
All other steps are correct.
 
        
             
        
        
        
So 8w=4c and 2c=3g. divide the first equation by 2 and you get 4w=2c. merge the two equation give you 4w=2c=3g, or 4w=3g. multiply 4 on both sides give you 16w=12g. So 16 widgets equal how 12 goof-ups?
        
             
        
        
        
Where is the figureeeee??
        
             
        
        
        
Answer:
5.25 + 2.50 = 7.75. 10 - 7.75 =2.25
Step-by-step explanation:
 
        
                    
             
        
        
        
10 × $150 = $1500
88 × $85.50 = $7524
1500 + 7524 = $9024 a day.
9024 × 6 = $54,144 (the answer)
Hope this helps!