2 log₃ (x + 4) - log₃ 9 = 2 has the value of x =5.
What is logarithm?
It is the exponent or power to which a base must be raised to yield a given number.
2 log₃ (x + 4) - log₃ 9 = 2
log₃ (x + 4)² - log₃ 9 = 2
log₃ (x + 4/3)² = 2
log₃ (x + 4/3)² = log₃ 9
(x + 4/3)² =9
On solving, the value of x is
x= -13 or 5
But x
x+4>0
So, x =5
Thus, the value of x = 5
Learn more about logarithm.
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