Log5x=log(2x+9) 5x=2x+9 5x-2x=9 3x=9 X=3
An equation is a mathematical statement that is made up of two expressions connected by an equal sign .
The value of x in the equation Log 5x = Log (2x + 9) is 3.
x = 3
What is an equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign .
Example:
2x = 4 is an equation .
2x + 4y = 4 is an equation .
We have,
Log 5x = Log (2x + 9)
The log can be canceled from both sides.
5x = 2x + 9
Subtract 2x on both sides.
5x - 2x = 9
3x = 9
Divide both sides by 3.
x = 3
Thus,
The value of x in the equation Log 5x = Log (2x + 9) is 3.
x = 3
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The solution to the equation lo g 5 x = lo g ( 2 x + 9 ) is x = 3 . This is verified by substitution back into the original equation. The equality of both sides confirms the correctness of the solution.
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