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anonymous
 one year ago
−4log2(n)−23=−19
anonymous
 one year ago
−4log2(n)−23=−19

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UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.2first, add 23 to both sides

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(4) 4log 2 (n)=42 (4)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(4) 4log 2 (n)=4 (4)

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.2what are the (4)'s doing? you don't need them

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry i thought you multiple both sides

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.2Good, now divide both sides by 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do you know how to divide vs multiple?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.2well the left hand side has \[\color{blue}{4}\log_2 (n)=4\] to get red of this on the left hand side, we need to apply inverse operation i.e. we need to divide by \(\color{blue}{4}\)

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.2this is like when we had \[−4\log_2(n)+{\color{orange}{23}}=−19\], so we added \(\color{orange}{23}\) to both sides (the inverse operation)

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.2\[\frac1{\color{blue}{4}}\times\color{blue}{4}\log_2 (n)=\frac1{\color{blue}{4}}\times4\]

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.2which simplifies to . . . .

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.2correct! now apply the definition of a log

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i entered that and its says it wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, well thanks so much!

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.2check solution by plugging them back into the original equation \[−4\log_2(0.5)23=19\\−4\log_2(2^{1})23=19\\ 4\times123=19\\ 423 = 19\\ 19=19\] True!
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