Question

Complete the sentence below. If 8^x= 8^3, then x =

Answer 1

Answer:

Chapter 8; 8.3 Is the sentence ∃ x, y x=y valid? Explain. 8.3 The sentence ∃ x,y x = y is valid. A sentence is valid if it is true in every model. An existentially quantified sentence is true in a model if it holds under any extended interpretation in which its variables are assigned to domain elements.

Step-by-step explanation:

Answer 2

$8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3$