What algorithm do scientific calculators use to calculate Logarithms I have been introduced to numerical analysis and have been researching quite a bit on its applications recently. One specific application would be the scientific calculator. 
From the information that I found, computers typically use the Taylor Series to compute trigonometric problems and calculators would usually take a different approach and use the CORDIC algorithm to compute such problems, including hyperbolic, inverse trigo, square roots etc.
However, how would they calculate logarithmic problems? I couldn't really find any information about this and was hoping someone would point me in the right direction or provide any insights on what kind of algorithms are used is such calculations.
Thanks in advance.

The Handbook of Mathematical Functions by Abramowitz and Stegun, National Bureau of Standards Applied Mathematics Series 55 (which is available for free on-line), lists several polynomial approximations to the natural logarithm function in formulas 4.1.41 through 4.1.44.  The Handbook says these approximations are from C. Hastings Jr., Approximations for digital computers.  The most accurate of the formulas, 4.1.44, reads
$$\ln(1+x)=a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 + a_5 x^5 + a_6 x^6 + a_7 x^7 + a_8 x^8 + \epsilon(x)$$
for $0 \le x \le 1$ with $| \epsilon(x) | \le 3 \times 10 ^{-8}$, where
$$\begin{align}
a_1 &= .99999 \;64239 \\
a_2  &= -.49987 \;41238 \\
a_3 &= .33179 \;90258 \\
a_4 &= -.24073 \;38084 \\
a_5 &= .16765 \;40711 \\
a_6 &= -.09532 \;93897 \\
a_7 &= .03608 \;84937 \\
a_8 &= -.00645 \;35422
\end{align}$$
