What is the solution of in(x+6)-in9? round your answer to the nearest hundredth. x=53.50 x=60.50 x=66.50 x=72.50

x =60.50 ( nearest hundredth).

Step-by-step explanation:

Given : ln(x+6) - ln9 =2

To find : what is the solution up to nearest hundredth.

Solution : We have given that ln(x+6) - ln9=2

By the logarithm quotient rule ln (a+b) -lnc =.

= .

  = 2

Taking exponent both side :

= .

= 7.38

On multiplying both side by 9

(x+6) = 9 * 7.38

x + 6 = 66.42

On subtracting by 6

x = 66.42 - 6

x = 60.42

x =60.50 ( nearest hundredth.)

Therefore, x =60.50 ( nearest hundredth).

2

step-by-step explanation: