A logarithmic function of the form f(x) = log_b x+c has an x-intercept at x = 1 and a vertical asymptote at y = 0. Also, f(x) intersects with the line y=1 when x=8.

what is f(x)

1 answer

plug in your numbers.
log_b(1) = 0, so c=0
log_b(8) = 1, so b=8

y = log8x