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The exponential expression: base These expressions are inverses of one another. b Exponential & Logarithmic Expressions x power = y number power Can be rewritten to solve for the power as: x = log y base b number Examples: Exponential & Logarithmic Expressions Logarithm to Exponential form. When we take base "8" tothe power of "2" we get 64. When we take base "144" tothe power of "½" we get 12. When we take base"11" to the power of"-2" we get 1/121. Think 1441/2 = 12 11-2 = 82 = 64 Write 1 121 Exponential & Logarithmic Expressions Logarithm to Exponential form. Answer: = Exponential & Logarithmic Expressions Logarithm to Exponential form. Answer: = Exponential & Logarithmic Expressions Logarithm to Exponential form. Answer: = Exponential & Logarithmic Expressions Logarithm to Exponential form. Answer: = Exponential & Logarithmic Expressions Logarithm to Exponential form. Answer: = Exponential & Logarithmic Expressions Logarithm to Exponential form. Answer: = Exponential & Logarithmic Expressions Logarithm to Exponential form. Answer: = Examples: Exponential & Logarithmic Expressions Exponential to Logarithm form. The log base "3" of "9" is "2". The log base "7" of "1/49" is "-2". The log base "625" of "5" is "¼". Think log7( )=-2 log6255= log39=2 1 49 Write 1 4 Exponential & Logarithmic Expressions Exponential to Logarithm form. Answer: =log Exponential & Logarithmic Expressions Exponential to Logarithm form. Answer: =log Exponential & Logarithmic Expressions Exponential to Logarithm form. Answer: =log Exponential & Logarithmic Expressions Exponential to Logarithm form. Answer: =log Exponential & Logarithmic Expressions Exponential to Logarithm form. Answer: =log Exponential & Logarithmic Expressions Exponential to Logarithm form. Answer: =log Exponential & Logarithmic Expressions Exponential to Logarithm form. Answer: =log Exponential & Logarithmic Expressions Exponential to Logarithm form. Answer: =log Exponential & Logarithmic Expressions Exponential to Logarithm form. Answer: =log Examples: When logarithmic expressions contain numbers that are easy powers of the base, exact values can be determined with out a calculator. Exponential & Logarithmic Expressions What power do you have to raise base "4" to in order to get "1/64" as an answer?I need a negative power to get a fractionand I know that 43 is 64. What power do you have to raise base "2" to in order to get "8" as an answer?I know that 23 is 8. Think So . . . log4( ) = -3 So . . . log28 = 3 Write 1 64 Exponential & Logarithmic Expressions Exact Values of Logarithmic Expressions Answer: Exponential & Logarithmic Expressions Exact Values of Logarithmic Expressions Answer: Exponential & Logarithmic Expressions Exact Values of Logarithmic Expressions Answer: Exponential & Logarithmic Expressions Exact Values of Logarithmic Expressions Answer: Exponential & Logarithmic Expressions Exact Values of Logarithmic Expressions Answer: Exponential & Logarithmic Expressions Exact Values of Logarithmic Expressions Answer: Exponential & Logarithmic Expressions Exact Values of Logarithmic Expressions Answer: Exponential & Logarithmic Expressions Exact Values of Logarithmic Expressions Answer: Exponential & Logarithmic Expressions Exact Values of Logarithmic Expressions Answer: Exponential & Logarithmic Expressions Exact Values of Logarithmic Expressions Answer: log1010 = 1 Examples: Your calculator can process logs of base 10. Use it now to calculate the answer. If 30 is between 10 and 100 . . . . What two values is log1030 between? Sometimes logarithmic expressions contain numbers that are noteasy powers of the base. When that happens, a calculator is needed. Answer: Round to 3 decimal places. ie. 2.567 Exponential & Logarithmic Expressions log1030 = ? log10100 = 2 < log1030 < Sometimes logarithmic expressions contain numbers that are noteasy powers of the base. When that happens, a calculator is needed. Exponential & Logarithmic Expressions = = = = = Answer: Round to 3 decimal places. ie. 2.567 *If the answer is less than 1 put a leading zero before your answer. i.e. answer 0.123 not .123 Sometimes logarithmic expressions contain numbers that are noteasy powers of the base. When that happens, a calculator is needed. log150 log467 log2000 log782 log1200 Exponential & Logarithmic Expressions = = = = = Answer: Round to 3 decimal places. ie. 2.567 *If the answer is less than 1 put a leading zero before your answer. i.e. answer 0.123 not .123 |