How do you solve for t in 44=2,500times0.5^(t/5.95)?
1 Answer
May 14, 2016
Explanation:
Given,
44=2500*0.5^(t/5.95)
Divide both sides by
44/2500=0.5^(t/5.95)
Take the logarithm of both sides since the bases are not the same.
log(44/2500)=log(0.5^(t/5.95))
Using the logarithmic property,
log(44/2500)=(t/5.95)log(0.5)
log(44/2500)=log(0.5)/5.95*t
Solve for
t=log(44/2500)/(log(0.5)/5.95)
t=(5.95log(44/2500))/(log(0.5))
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