SOLUTION: if the log of two numbers are 1.7 and 2.0 by what factor do they differ? what are the two numbers ...base is 10

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Question 397373: if the log of two numbers are 1.7 and 2.0 by what factor do they differ? what are the two numbers ...base is 10
Answer by CharlesG2(834) About Me  (Show Source):
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if the log of two numbers are 1.7 and 2.0 by what factor do they differ? what are the two numbers ...base is 10

log a = 1.7
log b = 2.0
logarithmic rule: if logb y = x then b^x = y
10^(1.7) = a
10^(2.0) = b
a = 50.118723 to 6 places or 50.1 to one place
b = 100
by 1.995262 to 6 places or 2.0 to one place is the factor that b is greater than a