anonymous
  • anonymous
−4log2(n)−23=−19
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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UnkleRhaukus
  • UnkleRhaukus
first, add 23 to both sides
anonymous
  • anonymous
(-4) -4log 2 (n)=42 (-4)
anonymous
  • anonymous
oops not 42 but 4

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UnkleRhaukus
  • UnkleRhaukus
type it again
anonymous
  • anonymous
(-4) -4log 2 (n)=4 (-4)
UnkleRhaukus
  • UnkleRhaukus
what are the (-4)'s doing? you don't need them
anonymous
  • anonymous
-4log 2 (n)=4
anonymous
  • anonymous
sorry i thought you multiple both sides
UnkleRhaukus
  • UnkleRhaukus
Good, now divide both sides by -4
anonymous
  • anonymous
how do you know how to divide vs multiple?
anonymous
  • anonymous
log 2 (n)=-1
UnkleRhaukus
  • UnkleRhaukus
well 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
  • UnkleRhaukus
to get rid*
UnkleRhaukus
  • UnkleRhaukus
this 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)
anonymous
  • anonymous
ohh ok
UnkleRhaukus
  • UnkleRhaukus
\[\frac1{\color{blue}{-4}}\times\color{blue}{-4}\log_2 (n)=\frac1{\color{blue}{-4}}\times4\]
UnkleRhaukus
  • UnkleRhaukus
which simplifies to . . . .
anonymous
  • anonymous
log 2 n = -1
UnkleRhaukus
  • UnkleRhaukus
correct! now apply the definition of a log
anonymous
  • anonymous
n = .5?
anonymous
  • anonymous
i entered that and its says it wrong
anonymous
  • anonymous
wait nvm
anonymous
  • anonymous
ok, well thanks so much!
UnkleRhaukus
  • UnkleRhaukus
check solution by plugging them back into the original equation \[−4\log_2(0.5)-23=-19\\−4\log_2(2^{-1})-23=-19\\ -4\times-1-23=-19\\ 4-23 = -19\\ -19=-19\] True!

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