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

=
[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]
All other steps are correct.
B5 = -1 x (2 ^ 5 - 1)
B5 = -1 x (2 ^ 4)
B5 = -1 x 16
B5 = -16
Answer:
Step-by-step explanation:
Find attached the first sum.
x denotes horizontal and y denotes vertical
When the value of x is positive, it moves to right side and when x is negative, it moves left sides 'x unit'
When the value of y is positive, it moves to up side and when y is negative, it moves down sides 'y unit'
Answer:
Approximately 10.2 inches
Step-by-step explanation:
The area of a square is given by the formula:

Where A is the area and s is the side length.
Since we already know that the area A is 105, substitute:

Now, take the square root of both sides:

Use a calculator:

So, the side length is approximately 10.2 inches.
C is the answer to the question