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i think i need to divide both sides by x+1

Subtract 1 from each side

-0.963?

Sure

First find (change in price)/(number of years)

18333.33

(165000-108000)/9 = ?

6333.33

right, now we find the percentage compared to the original price
100*(6333.33/108000) = ?

5.864?

right, then round to the nearest 10th

5.9?

right, so our answer is 5.9%

portion remaining = (2)^(number of years/half-life)
.494/100 = (2)^(x/5730)
solve for x

i couldnt solve it

.494/100 = (2)^(x/5730)
log(.494/100)/log(2) = x/5730

small correction
log(.494/100)/log(0.5) = x/5730
7.66 = x/5730
x = 44,000 years (rounded)

okay one more easy one e^2x+1=5.324

X=-.73

wait no its 1.672=2x-1

|dw:1438019083848:dw|
is this what the problem looks like?

or this?
|dw:1438019123161:dw|

its 2x-1 but yes

does it match the first drawing or the second drawing?

first

ok, so we have e^(2x-1) = 5.324
take the natural log of both sides

ln5.324=2x-1

right, now solve for x

add 1 to both sides, then divide both sides by 2

[ (ln5.324)+1 ] / 2 = x

1.336?

yes