solve 2.52=1.005^12x

Question

calculate the exponant x

Answer 1

1.005^12x=2.52

log(1.005^12x)=log(2.52)

12x*log(1.005)=log(2.52)

12x=log(2.52)/log(1.005)

12x=0.40140054/ 0.002166061757

12x=185.3135252

x=185.313/12=15.44279377

Answer 2

Given 2.52=1.005^12x

take log on both side

=>log 2.52=12x log 1.005

=>0.92425=12 x(0.004987)

=>x=15.443

 

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