Find the vale of p,p in each of the following: 1. log,base,2,32,equals ,p,LOG2 32=p. 2. base,p,81,equals,2,LOGp81=2​

Question

Find the vale of p,p in each of the following: 1. log,base,2,32,equals ,p,LOG2 32=p. 2. base,p,81,equals,2,LOGp81=2​

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Sophia 4 weeks 2021-09-21T22:22:27+00:00 1 Answers 0 views 0

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    2021-09-21T22:24:25+00:00

    Given  :  log₂32=p  

    \log_p81=2

    To Find : Value of p

    Solution:

    log₂32=p  

    =>  log₂2⁵=p  

    log aⁿ  = n log a

    =>  5 log₂2 =p  

    logₐa= 1

    =>  5 ( 1) = p

    => p = 5

    \log_p81=2

    Dividing both sides by 2

    =>  \frac{1}{2} \log_p81=1

    =>  \log_p81^{\frac{1}{2} }=1

    =>  \log_p9=1

    => p = 9

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