Is there any positive number b so that the expression logb (0) makes sense? Explain how you know?

No.

Step-by-step explanation:

The logarithm of a number to the base b of a certain number  is the exponent

to which the base b is raised to equal the given value.

So say we have  logb y = a, then

y = b^a

So if y = 0 then

0 = b^a

If b is a positive number then there is no value of a that makes y = 0.

for example y = b^0 = 1, y = b^1 = b  etc.

no, because the sides are not congruent

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)