5x=2x+2 | ln ( ) anwenden
ln ( 5x ) =ln ( 2x+2 )
x * ln ( 5 ) = ( x + 2 ) * ln ( 2)
x * ln ( 5 ) = x * ln ( 2) + 2 * ln ( 2 )
x * ln ( 5 ) - x * ln (2 ) = 2 * ln ( 2 )
x * ( ln ( 5 ) - ln ( 2 ) ) = 2 * ln ( 2 )
x = 2 * ln ( 2 ) / ( ln ( 5 ) - ln ( 2 ) )
x = 1.5129
Probe
5^{1.5129} = 2^{1.5129+2}
11.415 = 11.415