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This algebra 2 math tutorial NutshellMath offers homework help with various properties of logarithms, including the product, quotient and power properties. Logarithms are important algebraic operations with special properties.
As introduced in the tutorial, the product property of logarithms states that the log of a product of two factors is equal to the sum of the logs of each of the factors. The quotient property of logarithms states that the log of a quotient of two terms is equal to the difference of the log of the dividend and log of the divisor. The power property of logarithms states that the log of a term raised to a power is equal to the product of that power and the log of the base.
These properties are important in manipulating and evaluating logarithmic expressions. The examples in this tutorial demonstrate how to use properties of logs to manipulate a logarithmic expression into a new expression that can be easily evaluated. The teacher will first attempt to express a single term within the logarithm as a product, quotient or exponent, and then apply the properties of logarithms to separate the logarithm into a sum, difference or product of other known logarithms. These properties can also be used to combine sums or differences of two logarithms into one, or remove coefficients from a logarithmic expression by raising the term inside the log to a power.
These basics of logarithm manipulation are extremely useful in solving algebra problems involving logs.
This algebra 2 math tutorial NutshellMath offers homework help with various properties of logarithms, including the product, quotient and power properties. Logarithms are important algebraic operations with special properties.
As introduced in the tutorial, the product property of logarithms states that the log of a product of two factors is equal to the sum of the logs of each of the factors. The quotient property of logarithms states that the log of a quotient of two terms is equal to the difference of the log of the dividend and log of the divisor. The power property of logarithms states that the log of a term raised to a power is equal to the product of that power and the log of the base.
These properties are important in manipulating and evaluating logarithmic expressions. The examples in this tutorial demonstrate how to use properties of logs to manipulate a logarithmic expression into a new expression that can be easily evaluated. The teacher will first attempt to express a single term within the logarithm as a product, quotient or exponent, and then apply the properties of logarithms to separate the logarithm into a sum, difference or product of other known logarithms. These properties can also be used to combine sums or differences of two logarithms into one, or remove coefficients from a logarithmic expression by raising the term inside the log to a power.
These basics of logarithm manipulation are extremely useful in solving algebra problems involving logs.