If  log7 (a)  + loga (7) = 2, what is a?

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justaguide eNotes educator | Certified Educator

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We have log (7) a + log (a) 7 = 2

We use the relation for logarithms that log a + log b = log (a*b) and log (a) b = 1 / log(b) a.

log (7) a + log (a) 7 = 2

=> log (7) a + 1/ log (7) a = 2

=> [log (7) a]^2 + 1 = 2* log(7) a

=> [log (7) a]^2 + -...

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