Question

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

e-0.5x = 0.075

Answer 1

`x=-(ln(0.075))/(0.5)`

Explanation:

`e^(-0.5x)= 0.075`

To remove the base 'e' we take ln on both sides

`e^(-0.5x)= 0.075`

`ln(e^(-0.5x))=ln(0.075)`

As per log property we move the exponent before ln

`-0.5xln(e)=ln(0.075)`

ln(e)=1

`-0.5x=ln(0.075)`

divide by -0.5 on both sides

`x=-(ln(0.075))/(0.5)`