Calian wants to construct a viable argument to justify that logbb=1 for b0 and b≠1. Fill in the blanks to help him construct his argument.(2 points)Any positive number raised to the power is equal to itself. Written as an equation, this means that $$ for any positive base. This equation is equivalent to the logarithmic equation $$. Therefore, it must be true that logbb=1 for any positive base that is not equal to 1.

Question

Calian wants to construct a viable argument to justify that logbb=1 for b>0 and b≠1. Fill in the blanks to help him construct his argument.(2 points)Any positive number raised to the power  is equal to itself. Written as an equation, this means that $$ for any positive base. This equation is equivalent to the logarithmic equation $$. Therefore, it must be true that logbb=1 for any positive base that is not equal to 1.

GPT-4o mini · Answer

Any positive number raised to the power **1** is equal to itself. Written as an equation, this means that **$ b^1 = b $** for any positive base. This equation is equivalent to the logarithmic equation **$ \log_b b = 1 $**. Therefore, it must be true that $ \log_b b = 1 $ for any positive base that is not equal to 1.