## Graphical solutions involving the empirical equations: y |

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### Contents

THE THEORY OF LOGARITHMS | 5 |

E SemiLogarithmic Arithilog Coordinate Paper 1112 | 11 |

B Simple Exponential Curve y cekx | 17 |

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### Common terms and phrases

approximate a large approximate relation arithmic axis calculated cekx chart coefficient of friction Common log common logarithm cube roots data given Determine a formula Determine an empirical diameter distances Draw the graph empirical equation Engineering Drawing Example exponent Find a law Find the equation following data following pairs following table gives form log10 fraction given number graphs of equations Hence large number length line shown log log log x2 logarithmic and semi-logarithmic logarithmic coordinate paper logarithmic graphs Logarithmic Rulings logarithmic scale logarithms to base logy medium of thickness Napierian base Natural log natural logarithms natural system numerical values ordinary coordinate pairs of values Parabolic and Hyperbolic plotted quantities semi-logarithmic coordinate paper shown in Fig Simple curves slide rule slope smooth curve statement that 100 straight line substitute new letters system of logarithms Taking logarithms THEORY OF LOGARITHMS tical unit AC unused sheet x2log