Factorizing an expression involves writing the expression in simpler forms
The values of z are
or 
The equation is given as:

Expand the equation

Factorize the expression:

Factor out z - 4

Split
or 
Solve for z
or 
Hence, the values of z are
or 
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Answer: flog6e
Step-by-step explanation:
The power property of logarithm rule is :
Logamn = nlogaM
Applying the logarithm of power rule in the given expression we have:
Log6eF= flog6e
The second option that is flog6e is the right option among all the given options.
Answer:
Option c
or 
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function
x> 0 for all real numbers.
Then the inequation:
has two cases
if
(i)
if
(ii)
We solve the case (i)

We solve the case (ii)

Then the solution is:
or 
Answer:
-0.5 and 5.5
Step-by-step explanation:
removing absolute value will yield two equation: 2.5-y=3 and 2.5-y=-3
solve for y in both case.
The ratio is 4:5
Divide both terms by 4
16/4 =4
20/4=5