# Tangent Lines to Exponential and Logarithmic Functions through the Origin

Tangent Lines to Exponential and Logarithmic Functions through the Origin

For each exponential function ,a>0, draw the tangent line through the origin. The points of tangency lie on the horizontal line Likewise, for the logarithmic functions , the points of tangency lie on the vertical line .

x

a

y=e.

y=x,b>0

log

b

x=e