HW005 Problem 18 Previous Problem List Next 1 point Evaluate

HW005: Problem 18 Previous Problem List Next (1 point) Evaluate the folowing quantity by applying a change of base In(m) In(n) where 71 You have 3 attemptis) remaining betore you will receive a new version or this problem Note: You can earn partial credit on this probiem Preview My Answers Submit Answers You have attempted this probiem o times You have unimited attempts remaning Email instructor

Solution

1)log₆₃9.49

=(ln9.49)/(ln63) =>m=9.49, n=63

=2.25/4.143

=0.543

2)log(z+12) +logz =log13

log +logn =logmn

log(z+12)*z =log13

(z+12)*z=13

z²+12z-13=0

z²+13z-z-13=0

z(z+13)-1(z+13)=0

(z+13)(z-1)=0

z=-13,z=1

z cannot be negative

so z=1 is the solution