Solve. In(2-x)=7

Question

Solve.

In(2-x)=7

 

 

choices

a 2-e^7

b -5

c 5

d e^7-2

Answer 1

Recall ln(e^n) = n, therefore ln(e^7) = 7

This quickly brings the possibles options down to either A or D. Figure out which one correctly eliminates the 2 and you have your answer.

Answer 2

Makayla, we make each side the exponent of e.

 

e^ln(2-x) = e⁷

Remember that e^ln is 1, so we are left with 2 - x = 7

     -x = 5

      x = -5

 

Bam.