SOLUTION: Solve for x. Show all work and give exact answers. (log_3( 81 ) - log_pi (1 ) ) / (log_(2*sqrt(2)) ( 8 ) - log(0.001) (Just to clarify: the underscore means “base” or “subscript”

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve for x. Show all work and give exact answers. (log_3( 81 ) - log_pi (1 ) ) / (log_(2*sqrt(2)) ( 8 ) - log(0.001) (Just to clarify: the underscore means “base” or “subscript”      Log On


   



Question 1129939: Solve for x. Show all work and give exact answers.
(log_3( 81 ) - log_pi (1 ) ) / (log_(2*sqrt(2)) ( 8 ) - log(0.001)
(Just to clarify: the underscore means “base” or “subscript”)

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(log_3( 81 ) - log_pi (1 ) ) / (log_(2*sqrt(2)) ( 8 ) - log(0.001)

log_3(81) = 4 because 3^4 = 81
log_pi(1) = 0 because (pi)^0 = 1
log_(2*sqrt(2))(8) = 2 because (2*sqrt(2))^2 = 8
log(0.001) = -3 because 10^(-3) = 0.001

(4-0)/(2-(-3)) = 4/5