If \(\log_8 3 = P\) and \(\log_3 5 = Q \), express \(\log_{10} 5\) in terms of \(P\) and \(Q\).
The answer isn't supposed to include any logarithms.
How should I solve this problem? Thank you in advance!
P =0.5283208.........
Q =1.4649735.........
P*Q =0.773976......., so:
8^0.773976...... = 5, so:
Log_10(5) = Log_10(8^0.773976...). Remove the "Log"
5 = 8^0.773976 =8^PQ
It follows that log_{10} 5 = (P + Q)/(8PQ).
