SOLUTION: Solve the equation 3^(5x+2) = 27/ sqrt 3
The real problem I'm having here is understanding how to simplify the fraction with the square root, apparently I can turn 27/ sqrt 3 in
Algebra ->
Equations
-> SOLUTION: Solve the equation 3^(5x+2) = 27/ sqrt 3
The real problem I'm having here is understanding how to simplify the fraction with the square root, apparently I can turn 27/ sqrt 3 in
Log On
Question 987028: Solve the equation 3^(5x+2) = 27/ sqrt 3
The real problem I'm having here is understanding how to simplify the fraction with the square root, apparently I can turn 27/ sqrt 3 into 9* sqrt3 somehow, but I don't really understand. Found 2 solutions by stanbon, solver91311:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Solve the equation
3^(5x+2) = 27/ sqrt(3)
-----
3^(5x+2) = 3^3/3^(1/2)
-------
3^(5x+2) = 3^(3-(1/2))
-------
3^(5x+2) = 3^(5/2)
-------
5x+2 = 5/2
5x = 1/2
x = 1/10
---------------
Cheers,
Stan H.
--------------
-----