The equation shown below represents a logarithmic equation of base b.
a = logb(c)
 
Which set of numbers can a represent?

A.Only numbers > 0
B. Only numbers < 0
C All real numbers except 0
DAll real numbers

Respuesta :

Answer:

C. All real numbers except 0

Step-by-step explanation:

It is the same as " numbers > 0"

Option (A) is correct.

What is logarithmic equation?

"This equation will have all the terms but one be a logarithm and the one term that doesn’t have a logarithm will be a constant. In order to solve these kinds of equations we will need to remember the exponential form of the logarithm".

For the given situation,

The logarithmic equation, [tex]a = logb(c)[/tex]

⇒[tex]b^{c} = a[/tex]

Where a>0 , b>0 and b!=1

Thus a can represent, only numbers > 0.

Hence we can conclude that option (A) is correct.

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