Question

−4log2(n)−23=−19

Answer 1

first, add 23 to both sides

Answer 2

(-4) -4log 2 (n)=42 (-4)

Answer 3

oops not 42 but 4

Answer 4

type it again

Answer 5

(-4) -4log 2 (n)=4 (-4)

Answer 6

what are the (-4)'s doing? you don't need them

Answer 7

-4log 2 (n)=4

Answer 8

sorry i thought you multiple both sides

Answer 9

Good, now divide both sides by -4

Answer 10

how do you know how to divide vs multiple?

Answer 11

log 2 (n)=-1

Answer 12

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 \(\color{blue}{-4}\)

Answer 13

to get rid*

Answer 14

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)

Answer 15

ohh ok

Answer 16

\[\frac1{\color{blue}{-4}}\times\color{blue}{-4}\log_2 (n)=\frac1{\color{blue}{-4}}\times4\]

Answer 17

which simplifies to . . . .

Answer 18

log 2 n = -1

Answer 19

correct!

now apply the definition of a log

Answer 20

n = .5?

Answer 21

i entered that and its says it wrong

Answer 22

wait nvm

Answer 23

ok, well thanks so much!

Answer 24

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!