solve 4^3p(4^2p-1=100
the p goes along with the exponents on both sides
so, \[4^{3p}(4^{2p} - 1) = 100\]
also add the -1 to the second part
i ment along with the exponent 2p
ugh equation editor isn't working anymore
also ignore the last line I made a mistake and forgot to add a p
I dont know if I'm on the right track to solving it but I can't attempt to complete my solution because this site is buggy
well i am lost, all i know is that the aswer has to be 0.8644
Oh I made a stupid mistake
\[4^{3p}(4^{2p-1}) = 100\] \[4^{3p+ 2p - 1} = 100\] \[4^{5p - 1} = 100\] \[4^{5p}4^{- 1} = 100\] \[\frac{4^{5p}}{4^{1}} = 100\] \[\frac{4^{5p}}{4} = 100\] \[4^{5p} = 100(4)\] \[\log_4{4^{5p}} = \log_4{100(4)}\] \[5p = \log_4{100(4)}\] \[p = \frac{\log_4{100(4)}}{5}\]
there is your solution
I wish I was better at algebra so I could solve that other problem but it probably required some crazy technique ha
thank you so much this problem was making me mad
well it isn't that hard of a problem, it is just application of some fundamental rules of logarithms and exponents
do you follow how I came to the solution?
If you do not understand part of my solution tell me which part and I will show you the rule I applied
to be honest no
do you not understand any of it?
I'm about to go to sleep so please be quick in your responses
its better u go to bed, i will just ask i class tomorrow. thanks again
Well I can explain the rules to you if you want
unless you take me for a poor teacher ha which I'm fine with
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