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If log3 𝑥 = 𝑡, use the law of logarithms to show that log3 √27 𝑥 is equivalent to 𝑡 + 3 2 .

 

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 May 31, 2021
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If log3 𝑥 = 𝑡, use the law of logarithms to show that log3 √27 𝑥 is equivalent to 𝑡 + 3 2 .


                               log3 sqrt 27 x =         =    log3 x    +   log3sqrt 27

                                                               =   t   + log3   27 ^(1/2)

                                                               =  t +    log3 ( 33)1/2

                                                                                     =  t +    log3 33/2

                                                                                    =  t + 3/2

 May 31, 2021
edited by ElectricPavlov  May 31, 2021
edited by ElectricPavlov  May 31, 2021

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