14 006 points Previous Answers Use the Laws of Logarithms t

14. 0/0.6 points | Previous Answers Use the Laws of Logarithms to expand the expression. x10 2 (x8 + 7)(x2-36)6 log Submit Answer Save Progress

1) logsqrt[ ( x^10 +2)/(x^8 +7)(x^2 -36)^2]

use the log property: log[A*B/C] = logA +logB - logC

logA^x = x*logA

logsqrt[ ( x^10 +2)/(x^8 +7)(x^2 -36)^2] =

(1/2){log[(x^10+2) - log(x^8 +7) - log(x^2 -36)^2 }

= (1/2)log(x^10+2) - (1/2)log(x^8 +7) - log(x^2 -36)

2) Let x = x1+x2

Triangle with 60 deg: tan60 = a/x1

x1 = a/tan60 = 110/tan60 = 63.5

Triangle with 30 deg:

tan30 = a/x2

x2 = a/tan30 = 110/tan30 = 190.5

x = x1+x2 = 254 deg