Question 10421
{{{ 2^x = 50 }}} <-------- start here


{{{ ln(2^x) = ln(50) }}} <---- take the natural log of both sides.


{{{ x*ln(2) = ln(50) }}} <----- Remember the logarithmic rule that says that you can bring the power to the front of the logarithm.


{{{ x = ln(50)/ln(2) }}} <------- Divide both sides by ln(2).


{{{ x = 5.64386 }}} <----- answer once computed in your calculator (rounded, of course).


WARNING: {{{ ln(50)/ln(2) = ln(50/2) }}} IS WRONG!!!!