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NEKG33 Mathematical methods for economists
Chapter 5
Logarithms
The common logarithm
Logarithmic laws for the common logarithm
The natural logarithm
Logarithm with arbitrary base
Nonlinear functions
Rational functions
Power functions
Exponential functions
Logarithmic functions
Problems, Nonlinear functions
Problem: Power function
Problem: Exponential function
Problem: Exponential function
Problem: Logarithmic function
Problem: Exponential function
Problem: Logarithmic function
Problem: Logarithm of a product
Problem: Log of a number close to 1
Problem: Logarithm of a power
Problem: Logarithm of an exponential function
Problem: Exponential and logarithmic function
Problem: Logarithm
Problem: Solving equations using log and exp
Problem: Logarithmic laws
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Chapter 5
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Problem: Logarithmic function
Problem
Simplify
\[ \frac{log \left( y2^x \right)-log \left( y \right)}{x}\]
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Solution
