What is x if loga x= loga 7+loga 3-loga 11?

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We have to find x so that log (a) x= log (a) 7 + log(a) 3 - log(a) 11

Now we know that log a + log b = log ab and log a-log b = log(a/b)

log (a) x= log (a) 7 + log(a) 3 - log(a) 11

=>...

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We have to find x so that log (a) x= log (a) 7 + log(a) 3 - log(a) 11

Now we know that log a + log b = log ab and log a-log b = log(a/b)

log (a) x= log (a) 7 + log(a) 3 - log(a) 11

=> log(a) x = log(a) 7*3/11

=> log(a) x = log(a) (21/11)

Taking the antilog of both the sides we get x = 21/11.

Therefore x = 21/11

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