Question
Question: Which is the correct order for a given number a\> 1 in increasing order?...
Which is the correct order for a given number a> 1 in increasing order?
A
log2a, log3a, logea, log10a
B
log10a, log3a, logea, log2a
C
log10a, logea, log2a, log3a
D
log3a, logea, log2a, log10a
Answer
log10a, log3a, logea, log2a
Explanation
Solution
Since logx y > logx z
Ž y > z if x > 1
y < z if 0 < x < 1
and logyx > logz x
Ž y < z if x > 1 and y, z > 1
Hence choice [B] is correct.