the graph of the function y=loga x goes through (2,-1)

Question

The graph of the function y=loga⁡x goes through (2,−1). 

Then a=1/ 

Answer 1

y = log_ax goes through (2,-1) the point where x=2 and y=-1

plug the points into the log equation to get:

-1 = log_a2

convert to an exponential form

a^-1 = 2

1/a = 2

a = 1/2

the logarithm is to the base 1/2