If there are several logarithmic expressions, condense them. Use properties of logarithms to condense the logarithmic expression below. If it is a single logarithmic expression, expand it. Here is a video with a similar example worked out. Commas are used to separate digits appropriately. Since these base of the exponential expressions are the same, combine using the power and quotient rules for exponent.įind a common denominator to combine the fractions. Product Rule for Logarithms: Quotient Rule for Logarithms: The expressions inside the logarithm will be positioned in the numerator if the logarithm is positive or will be positioned in the denominator if the logarithm is negative. A fourth root is the same as the one-fourth powerĬondense the logarithms using the product and quotient rule. Condense each expression to a single logarithm. A square root is the same as the one-half power. Logarithms: Expand, Condense, Properties, Equations Expand each logarithm. The coefficient of 1/6 on the middle term becomes the power on the expression inside the logarithmĪ radical can be written as a fractional power.
Whenever possible, evaluate logarithmic expressions. Where possible, evaluate logarithmic expressions. Write the expression as a single logarithm whose coefficient is 1. Problem: Use the properties of logarithms to rewrite the expression as a single logarithm. Use properties of logarithms to condense the logarithmic expression.
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