S log (x+3) + log (x-3) = log 27
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Step-by-step explanation:
Hey there !
log ( x + 3 ) + log ( x - 3 ) = log 27
We know that, log function with same bases when added can be multiplied with common base. Therefore,
log ( x + 3 ) ( x - 3 ) = log 27
Removing the log function on both sides by exponential function we get,
=> ( x + 3 ) ( x - 3 ) = 27
=> x² - 9 = 27
=> x² = 27 + 9
=> x² = 36
=> x = √ 36
=> x = +6 or -6
X cannot be negative as exponent cannot be negative in this case.
Hence the value of x = 6
Hope my answer helped
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