Exponential & Logarithmic Expressions   The exponential expression:baseThese expressions are inverses of one another.bExponential & Logarithmic Expressionsxpower=ynumberpowerCan be rewritten to solvefor the power as:x=log  ybasebnumber     Examples:Exponential & Logarithmic ExpressionsLogarithm     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.Think1441/2 = 1211-2 = 82 = 64Write  1121   Exponential & Logarithmic ExpressionsLogarithm     to     Exponential form.Answer:=   Exponential & Logarithmic ExpressionsLogarithm     to     Exponential form.Answer:=   Exponential & Logarithmic ExpressionsLogarithm     to     Exponential form.Answer:=   Exponential & Logarithmic ExpressionsLogarithm     to     Exponential form.Answer:=   Exponential & Logarithmic ExpressionsLogarithm     to     Exponential form.Answer:=   Exponential & Logarithmic ExpressionsLogarithm     to     Exponential form.Answer:=   Exponential & Logarithmic ExpressionsLogarithm     to     Exponential form.Answer:=     Examples:Exponential & Logarithmic ExpressionsExponential     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".Thinklog7(    )=-2log6255=log39=2 149Write14   Exponential & Logarithmic ExpressionsExponential     to     Logarithm form.Answer:=log   Exponential & Logarithmic ExpressionsExponential     to     Logarithm form.Answer:=log   Exponential & Logarithmic ExpressionsExponential     to     Logarithm form.Answer:=log   Exponential & Logarithmic ExpressionsExponential     to     Logarithm form.Answer:=log   Exponential & Logarithmic ExpressionsExponential     to     Logarithm form.Answer:=log   Exponential & Logarithmic ExpressionsExponential     to     Logarithm form.Answer:=log   Exponential & Logarithmic ExpressionsExponential     to     Logarithm form.Answer:=log   Exponential & Logarithmic ExpressionsExponential     to     Logarithm form.Answer:=log   Exponential & Logarithmic ExpressionsExponential     to     Logarithm form.Answer:=log  Examples:When logarithmic expressions contain numbers that are easy powersof the base, exact values can be determined with out a calculator.Exponential & Logarithmic ExpressionsWhat 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.ThinkSo . . .  log4(    ) = -3So . . .  log28 = 3Write 164   Exponential & Logarithmic ExpressionsExact Values of Logarithmic ExpressionsAnswer:   Exponential & Logarithmic ExpressionsExact Values of Logarithmic ExpressionsAnswer:   Exponential & Logarithmic ExpressionsExact Values of Logarithmic ExpressionsAnswer:   Exponential & Logarithmic ExpressionsExact Values of Logarithmic ExpressionsAnswer:   Exponential & Logarithmic ExpressionsExact Values of Logarithmic ExpressionsAnswer:   Exponential & Logarithmic ExpressionsExact Values of Logarithmic ExpressionsAnswer:   Exponential & Logarithmic ExpressionsExact Values of Logarithmic ExpressionsAnswer:   Exponential & Logarithmic ExpressionsExact Values of Logarithmic ExpressionsAnswer:   Exponential & Logarithmic ExpressionsExact Values of Logarithmic ExpressionsAnswer:   Exponential & Logarithmic ExpressionsExact Values of Logarithmic ExpressionsAnswer: log1010 = 1Examples:Your calculator can process logs of base 10. Use it now to calculatethe 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. 2.567Exponential & Logarithmic Expressionslog1030 =?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 1put a leading zero beforeyour 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.log150log467log2000log782log1200Exponential & Logarithmic Expressions=====Answer: Round to 3 decimal places.            ie. 2.567*If the answer is less than 1put a leading zero beforeyour answer.i.e. answer 0.123 not .123
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