Exponential equation 300102512t1000Solution300102512t1000 di

Exponential equation: 300(1.025)^12t=1000

300(1.025)^12t=1000

divide by 300 on both sides

(300/300)(1.025)^12t=1000/300

(1.025)^12t=10/3

apply natural logaritham

ln(1.025)^12t=ln(10/3)

12t ln(1.025)=ln(10/3).....................since lna^b=blna

(12t)(ln(1.025)/ln(1.025)) =(ln(10/3))/(ln(1.025))

divide by ln(1.025) on both sides

12t =(ln(10/3))/(ln(1.025))

divide by 12 on both sides

t =(1/12)(ln(10/3))/(ln(1.025))

t=4.0632