log (x+3)+log(x-3)=log 27
Answers
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 !
Answer:
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<