SOLUTION: I need to find log a 75 With the given values of log a 2= 0.431 and log a 8= 1.292 The problem should read as logarithm of 75 with a base of (a)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I need to find log a 75 With the given values of log a 2= 0.431 and log a 8= 1.292 The problem should read as logarithm of 75 with a base of (a)      Log On


   

Question 318571: I need to find log a 75
With the given values of log a 2= 0.431 and
log a 8= 1.292
The problem should read as logarithm of 75 with a base of (a)
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
a^1.292 = 8

log(a) = [log(8)]/1.292 = 0.699

a = 5

5^x = 75

x [log(5)] = log(75) ___ x = 2.683

loga(75) = 2.683