SOLUTION: solve for x:(1/4)^x=14

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Question 997659: solve for x:(1/4)^x=14
Found 4 solutions by MathLover1, josgarithmetic, rothauserc, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

........use log








Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!



-----use calculator or a table of natural logarithms.
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
(1/4)^x = 14
use definition of logarithm
log(base 1/4) of 14 = x
x is approx -1.90

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

solve for x:(1/4)^x=14
Easiest method:  

 ------>  is equivalent to 

 ------- Converting to logarithmic form

 ------ Applying change of base

1.903677461 = - x

x =  ------->  

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