Question 1131607: how do you solve 0.5=(0.85)^n
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! YOUR EQUATION IS .5 = .85 ^ N
take the log of both sides of this equation to get:
log(.5) = log(.85 ^ n)
since log(.85 & n) is the same as n * log(.85), the equation becomes:
log(.5) = n * log(.85)
divide both sides by log(.85) to get:
log(.5) / log(.85) = n
solve for n to get n = 4.265024282
replace n in the original equation of .5 = .85 ^ n to get:
.5 = .85 ^ 4.265024282 which becomes .5 = .5 which is true, confirming the solution is correct.
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