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## Homework Statement

Determine the equation of the line that is tangent to y=8^x at the point on the curve x=1/2.

## Homework Equations

Differentiation Rules

m=y2-y1/x2-x1

## The Attempt at a Solution

y=8^x

dy/dx=8^x(ln8)

=8^0.5(ln8)

=5.9

y=8^x

=8^0.5

=2.8

5.9=y-2.8/x-0.5

5.9x-y-0.15=0 (My answer)

y=(6root2(ln2))x + root2(2-3ln2) (Real Answer)

How does this answer even make sense, I don't know where to go from here.