b^1 = b
b^x = b
x = 1
log_b (b) = 1
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.
1 answer