Question

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

( 1 + 0.07/12)^12t = 3

Answer 1

`t=(ln 3)/(12ln(1 +(0.07)/(12)))`

t=15.74

Explanation:

`( 1 + 0.07/12)^(12t) = 3`

Take ln on both sides

`ln(( 1 +(0.07)/(12))=ln 3`

move the exponent 12t before ln as per log property

`12tln(1 +(0.07)/(12))=ln 3`

now divide the ln on both sides to make 12t alone

`12t=(ln 3)/(ln(1 +(0.07)/(12)))`

divide both sides on both sides

`t=(ln 3)/(12ln(1 +(0.07)/(12)))`

t=15.74