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