There are two systems of logarithms in use. In the first system, the logarithms are calculated to base e = 2.718281...where e is an irrational number, and these logarithms are called Napierian logarithms because they were invented by John Napier.

The second system of logarithms is calculated to the base 10 and is called common logarithms invented by Briggs.

Natural logarithms are used in theoretical problems whereas common logarithms are used in numerical calculations.

Hereafter, log N means we are using log10 N (log is short for logarithm) for common logarithms, and ln x or loge x is used for natural logarithms.

**Find the value of the following**

**n each of the following problems unless stated otherwise, assume the base a = 10**

- Absolute Values
- Adding and Subtracting Fractions
- Addition of Decimals
- Algebra Linear Equations
- Algebra Quadratic Equations
- Algebra Simultaneous Equations
- Algebraic Properties
- Algebraic Function
- Analyzing and Integrating
- Asymptotes
- Bar Graphs
- Basics of Statistics
- Circular Permutations
- Combinations
- Complex Numbers
- Complex Numbers AddSub
- Complex Numbers Division
- ComplexNumbers Multiplication
- Complex Numbers Properties
- Composite Functions
- Cube and Cube Roots
- Data collection Add Multipli Rules
- Datacollection GroupedMean
- Datacollection Mean
- Datacollection Median
- Datacollection Mode
- Datacollection Probabilitybasics
- Datacollection Probabilityevents
- Dividing Rational Numbers
- Division of Decimals
- Domain of SquareRootFunction
- EquationsReducibleQuadratic
- Exponential Functions
- ExponentialLogarithmicFunction
- Factorization
- FactorizationAnyQPolynomial
- FactorizationMonicQPolynomial
- Fractions & Decimal Conversion
- Functions
- Geometry Basics
- Graph of Rational Functions
- Graph of SquareRootFunction
- GraphicalRepresentation
- Graph of Complex Numbers
- Graphs Functions
- HighestCommonFactor
- Inequalities
- Inverse Square Functions
- Inverse of a Function
- Justifying Solutions
- LeastCommonMultiple
- Linear Equations2Variables
- LinearEquations3Variables
- Linear Equation System
- Linear Equation Graphs
- Linear Inequalities Graphs
- Maxima Minima Zeros
- More Functions
- Multiplication of Decimals
- Multiplying Rational Numbers
- Multiplying Two Polynomials
- Other Functions
- Permutations
- Pictorial BarChart
- Pictorial Bivariatedata
- Pictorial BoxPlots
- Pictorial FrequencyTable
- Pictorial Histogram
- Pictorial LineCharts
- Pictorial PieChart
- Pictorial StemLeafPlot
- Polynomials Addition
- Polynomials Division
- Polynomials Multiplication
- Predicting Values
- Problem Solving Strategies
- Quadratic Equation
- QuadraticEquationsFormula
- QuadraticEquationsSolutions
- QuadraticInequalities
- Rational Behind Functions
- Rational Expression
- Rational Functions
- Real Numbers
- Reciprocal Functions
- Recursive Multiplication
- Rational Numbers
- Review of functions
- Review of Sets and Relations
- Rounding Numbers
- Scientific Notation
- Simple Probabilities
- SimplifyingRationalExpressions
- SolutionQuadratEquawhen
- Solving Fractions
- SolvingQuadraticEquations
- Square of a Binomial
- SquareRootFunctions
- SquareRootFunInequalities
- Squares and Square Roots
- Step Function
- Subtraction of Decimals
- Types of Functions
- Unit Conversions Measurements
- WordProblemsQE