Question

log(x+4)-log(x-4)=log2

Answer 1

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HERE IS YOUR ANSWER...⤵⤵

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To solve logarithmic equation :-

log(x+4)-log(x-4)=log2

SOLUTION :-
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We know that,

log a - log b = log (a/b)

So,
log(x+4) - log(x-4)=log2

=> log [(x+4)/(x-4)]= log 2

Now, take the antilog on both side,

x + 4 / x - 4 = 2

=> x + 4 = 2(x - 4)

=> x + 4 = 2x - 8

=> x - 2x = - 8 - 4

=> -x = - 12

=> x = 12

ANSWER :- x = 12

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