Is 5 raised to 2x is equal to 18?

Answer 1

5(2X) = 18

take natural log each side

ln[5(2X)] = ln(18)

now, as a logarithmic operation the exponent can come down in front of the log sign

2X ln(5) = ln(18)

divide thus

2X = ln(18)/ln(5) [ not ln(18/5)!!!! ]

2X = 1.795888947

divide by 2

X = 0.8979444735

-------------------------------check in original equation

5(2*0.8979444735) = 18

18 = 18

-------------checks