Math problem

Question

 

Solve for x: 50(1.02)^3x=200

Answer 1

50(1.02)^3x = 200

 

(1.02)^3x = 4

 

log(1.02)^3x = log4

 

3xlog(1.02) = log4

 

x = log4/[3log(1.02)] ≈ 23.335

Answer 2

50(1.02)^(3x)=200

divide both sides by 50

(1.02)^(3x)=4

log(1.02)^(3x)=log(4)

3x*log(1.02)=log(4)

3x=log(4)/log(1.02)

3x=0.60205999/0.0086001717

3x=70.0055836

x=70.0055836/3

x=23.3351945

check: (1.02)^(70.0055836)=4.00000047825