Question

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

( 1 + 0.06/12)^12t = 5

Answer 1

`t=(ln 5)/(12ln(1.005))`

t=26.89

Explanation:

`(1 + 0.06/12)^(12t) = 5`

Take ln on both sides

`ln(( 1 +(0.06)/(12))=ln 5`

move the exponent 12t before ln as per log property

`12tln(1 +(0.06)/(12))=ln 5`

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

`12t=(ln 5)/(ln(1 +(0.06)/(12)))`

divide both sides on both sides

`t=(ln 5)/(12ln(1 +(0.06)/(12)))`

t=26.89