Exponential & Logarithmic Expressions

The exponential expression: base These expressions are inverses of one another. bExponential & Logarithmic Expressions^{x}power =ynumber power Can be rewritten to solve for the power as: x=log_{ }ybase _{b}number 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}.Think 144 ^{1/2} = 1211 ^{-2} = 8 ^{2} = 64Write 1 121 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". Think log _{7}( )=-2log _{625}5=log _{3}9=2 1 49 Write 1 4 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 powers of 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 4 ^{3} is 64.What power do you have to raise base "2" to in order to get "8" as an answer?I know that 2 ^{3} is 8.Think So . . . log_{4}( ) = -3So . . . log_{2}8 = 3Write 1 64 Exponential & Logarithmic ExpressionsExact Values of Logarithmic Expressions Answer:Exponential & Logarithmic ExpressionsExact Values of Logarithmic Expressions Answer:Exponential & Logarithmic ExpressionsExact Values of Logarithmic Expressions Answer:Exponential & Logarithmic ExpressionsExact Values of Logarithmic Expressions Answer:Exponential & Logarithmic ExpressionsExact Values of Logarithmic Expressions Answer:Exponential & Logarithmic ExpressionsExact Values of Logarithmic Expressions Answer:Exponential & Logarithmic ExpressionsExact Values of Logarithmic Expressions Answer:Exponential & Logarithmic ExpressionsExact Values of Logarithmic Expressions Answer:Exponential & Logarithmic ExpressionsExact Values of Logarithmic Expressions Answer:Exponential & Logarithmic ExpressionsExact Values of Logarithmic Expressions Answer:log _{10}10 = 1Examples: 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 log _{10}30 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 Expressionslog _{10}30 =?log _{10}100 = 2< log _{10}30 <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 |

Students who took this test also took :

Created with That Quiz —
a math test site for students of all grade levels.