SOLUTION: The "a" is a subscript Given that loga7=1.946 and loga5=1.609 evaluate loga 7/5 a) 3.555 b) 1.209 c) -0.336 d) 0.337

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The "a" is a subscript Given that loga7=1.946 and loga5=1.609 evaluate loga 7/5 a) 3.555 b) 1.209 c) -0.336 d) 0.337      Log On


   

Question 978807: The "a" is a subscript
Given that loga7=1.946 and loga5=1.609 evaluate loga 7/5
a) 3.555

b) 1.209

c) -0.336
d) 0.337
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Given
log%28a%2C%287%29%29+=+1.946
log%28a%2C%285%29%29+=+1.609
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What we want to find
log%28a%2C%287%2F5%29%29
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Use rule 2(of the log rules shown on that page) to get

log%28a%2C%287%2F5%29%29+=+log%28a%2C%287%29%29-log%28a%2C%285%29%29

log%28a%2C%287%2F5%29%29+=+1.946-1.609

log%28a%2C%287%2F5%29%29+=+0.337