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Step-by-step explanation:
0 < a < x.
| log x base a + log a base x |
⇒| log x base a +1 upon log x base a |
[ let log x base a = t ]
⇒| t + |
⇒2
{ ( a - 1)² is greater than or equal to 0⇒a² +1 -2a is greater than or equal to 0⇒a + 1/a is greater than or equal to 2 }
Hence,the sum of a number and its reciprocal is greater than or equal to 2
therefore,the minimum value of | log x base a + log a base x | is 2
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