SOLUTION: Use logarithmic notation to represent the solution to each of the following equations. If there is no solution, enter "DNE" A)6^x=72 B)6^x=1/1296 C)4^x=-86

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Use logarithmic notation to represent the solution to each of the following equations. If there is no solution, enter "DNE" A)6^x=72 B)6^x=1/1296 C)4^x=-86       Log On


   

Question 1130547: Use logarithmic notation to represent the solution to each of the following equations. If there is no solution, enter "DNE"
A)6^x=72
B)6^x=1/1296
C)4^x=-86

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A)
6%5Ex=72
log%286%5Ex%29=log%2872%29
x%2Alog%286%29=log%2872%29
x=log%2872%29%2Flog%286%29
x=%283log%282%29+%2B+2log%283%29%29%2Flog%286%29
x=2.3868528


B)
6%5Ex=1%2F1296
log%286%5Ex%29=log%281%2F1296%29
x%2Alog%286%29=log%281%2F%286%5E4%29%29
x=log%286%5E-4%29%2Flog%286%29
x=-4log%286%29%2Flog%286%29
x=-4cross%28log%286%29%29%2Fcross%28log%286%29%29
x=-4


C)
4%5Ex=-86+
log%284%5Ex%29=log%28-86%29+ => "DNE" (log of negative number -86)