Solve for t

[nycmathguy]

The following number of questions has been posted here for anyone wanting or in need of extra practice as we visit precalculus.

 

[MathLover1]

(1+0.10/12)^(12t)=2.......simplify

(1.008333)^(12t)=2..........take log of both sides

log((1.008333)^(12t))=log(2)

(12t)log(1.008333)=log(2)

12t=log(2)/log(1.008333)

t=log(2)/(12log(1.008333))

t≈6.96031

 

[nycmathguy]

(1+0.10/12)^(12t)=2.......simplify

(1.008333)^(12t)=2..........take log of both sides

log((1.008333)^(12t))=log(2)

(12t)log(1.008333)=log(2)

12t=log(2)/log(1.008333)

t=log(2)/(12log(1.008333))

t≈6.96031

Wonderfully-done as always. You are gifted. I wonder who gave you this talent. God? I think so.