Question

QUESTION: Determine if the statement is true or false? if false give an counterexample.

Answer 1

Answer:

• False

Step-by-step explanation:

Actual question is:

• logf 4(3d) + log4 1 = log4 3d

Solution:

• logf 4 + logf (3d)  + 0 = log4 (3d)
• logf 4 + logf (3d) = log4 (3d)

If we assume f = 4, then

• log4 4 + log4 (3d) = log4 (3d)
• log4 4 = 0

but log4 4 = 1

• 1 = 0 is impossible

Therefore the statement is False