Saturday, May 21, 2011

solve 3^x+2=11

The equation 3^x+2=11 has to be solved.


Subtract 2 from both sides of the equations.


3^x + 2 - 2 = 11 - 2


3^x = 9


Now express 9 as a power of 3, 9 = 3^2


3^x = 3^2


As the base is equal of both the sides of the equation, the exponent can be equated


This gives the solution of the equation x = 2


At x = 2, 3^x + 2 = 3^2 + 2 = 9 + 2 = 11

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