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This assignment uses the information from the video yesterday throughout. If you've not yet watched the video or you just need some extra help, go back to yesterday's video and it should help a lot. Let's start with a couple things we know: log3(2) = log3(8) = Let's start with a couple things we know: log3(2) = log3(8) = log(8) log(3) log(3) log(2) Let's start with a couple things we know: log3(2) = log3(8) = log(8) log(3) log(3) log(2) = 0.631 = 1.893 How can we use this information to find log3(16)? Let's start with a couple things we know: log3(2) = log3(8) = log(8) log(3) log(3) log(2) = 0.631 = 1.893 How can we use this information to find log3(16)? We know that log3(16) = Let's start with a couple things we know: log3(2) = log3(8) = log(8) log(3) log(3) log(2) log3(8*2) = 0.631 = 1.893 How can we use this information to find log3(16)? We know that log3(16) = But the log rules tell us that: log3(8*2) = Let's start with a couple things we know: log3(2) = log3(8) = log3(8)+log3(2) = log(8) log(3) log(3) log(2) log3(8*2) = 0.631 = 1.893 How can we use this information to find log3(16)? We know that log3(16) = But the log rules tell us that: log3(8*2) = Let's start with a couple things we know: log3(2) = log3(8) = log3(8)+log3(2) = log(8) log(3) log(3) log(2) We know these values from above log3(8*2) = 0.631 = 1.893 How can we use this information to find log3(16)? We know that log3(16) = But the log rules tell us that: log3(8*2) = Let's start with a couple things we know: log3(2) = log3(8) = log3(8)+log3(2) = log(8) log(3) log(3) log(2) We know these values from above log3(8*2) = 0.631 = 1.893 How can we use this information to find log3(16)? We know that log3(16) = But the log rules tell us that: log3(8*2) = Let's start with a couple things we know: log3(2) = log3(8) = log3(8)+log3(2) = 1.893+0.631 = 2.524 log(8) log(3) log(3) log(2) We know these values from above log3(8*2) = 0.631 = 1.893 Remember, there are 4 Properties that we use: Remember, there are 4 Properties that we use: 1) Multiplying logs is the same as adding the logs of the quotientslog4(4*5) = log4(4)+log4(5) Remember, there are 4 Properties that we use: 1) Multiplying logs is the same as adding the logs of the quotientslog4(4*5) = log4(4)+log4(5) 2) Dividing logs is the same as subtracting the logs of the divisorslog2(8/3) = log2(8) - log2(3) Remember, there are 4 Properties that we use: 1) Multiplying logs is the same as adding the logs of the quotientslog4(4*5) = log4(4)+log4(5) 2) Dividing logs is the same as subtracting the logs of the divisorslog2(8/3) = log2(8) - log2(3) 3) Log exponents can be written in front of the loglog2(8)3 = 3*log2(8) Remember, there are 4 Properties that we use: 1) Multiplying logs is the same as adding the logs of the quotientslog4(4*5) = log4(4)+log4(5) 2) Dividing logs is the same as subtracting the logs of the divisorslog2(8/3) = log2(8) - log2(3) 3) Log exponents can be written in front of the loglog2(8)3 = 3*log2(8) 4) Change of base for calculatorslog2(8) = log(8) log(2) In the following problems I'll start by giving you a couple of log values. You'll need to use them to calculate logs using properties In the following problems I'll start by giving you a couple of log values. You'll need to use them to calculate logs using properties Example) log4(16) = 2 log4(64) = 3 In the following problems I'll start by giving you a couple of log values. You'll need to use them to calculate logs using properties Example) log4(16) = 2 log4(64) = 3Find log4(4) In the following problems I'll start by giving you a couple of log values. You'll need to use them to calculate logs using properties Example) log4(16) = 2 log4(64) = 3 log4(4) = log4(64/16) = In the following problems I'll start by giving you a couple of log values. You'll need to use them to calculate logs using properties Example) log4(16) = 2 log4(64) = 3 log4(4) = log4(64/16) = log4(64) - log4(16) = In the following problems I'll start by giving you a couple of log values. You'll need to use them to calculate logs using properties Example) log4(16) = 2 log4(64) = 3 log4(4) = log4(64/16) = log4(64) - log4(16) = 3 - 2 = 1 Given: log4(11) = 1.73 and log4(8) = 1.5 Find log4(88) What operation could we use to get from 8 & 11 to 88? Exponent Addition Subtraction Multiplication Division Hint: Since 88 is 11 times 8 use the properties to solve log4(88) = Given: log4(11) = 1.73 and log4(8) = 1.5 Find log4(88) Given: log5(60) = 2.54 and log5(12) = 1.54 Find log5(5) Hint: How can I get 5 from 60 and 12? Addition Subtraction Multiplication Division Exponent Given: log5(60) = 2.54 and log5(12) = 1.54 Find log5(5) Hint: Since we use division, division is the same as subtracting the values. log5(2) = Given: log7(5) = 0.83 Find log7(25) Hint: How can I get from 5 to 25? Addition Subtaction Multiplication Division Exponent Use the information given to solve, not a calculator or the problem will be rounded incorrectly Hint: Use the exponent property to solve Given: log7(5) = 0.83 Find log7(25) = |