Here is a video with a similar example worked out. Condense multiple logarithms product power quotient. This product is an NO PREP- SELF CHECKING activity that engages students in 'Expanding & Condensing Logarithms'. 11 stations Student Answer Sheet Color and. Great for subs Included in this resource: - Logarithm puzzle pieces with 30+ problems total - Answer key - Suggested uses. Students will use properties of logarithms to expand and condense expressions. 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. Discover short videos related to how to condense logarithm on TikTok. Exponents and Logarithms work well together because they undo each other (so long as the base a is the same). Logarithms are part of common core standard: HSF.LE.A.4. Condensing Logarithms We can use the rules of logarithms we just learned to condense sums, differences, and products with the same base as a single logarithm. 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. A square root is the same as the one-half power. 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. ![]() ![]() Problem: Use the properties of logarithms to rewrite the expression as a single logarithm.
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