SOLUTION: find the value(s) of the variable that makes the equation true. Separate multiple answers with commas. x^(1/7)=6

Algebra ->  Linear-equations -> SOLUTION: find the value(s) of the variable that makes the equation true. Separate multiple answers with commas. x^(1/7)=6      Log On


   

Question 1071736: find the value(s) of the variable that makes the equation true. Separate multiple answers with commas.
x^(1/7)=6
Found 2 solutions by math_helper, ikleyn:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E%281%2F7%29+=+6+
Take log's of both sides (I'm using natural log):
+%281%2F7%29ln%28x%29+=+ln%286%29+
++ln%28x%29+=+ln%286%29%2A7+
++ln%28x%29+=+12.5423163+
++x+=+e%5E%2812.5423163%29+
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Ans: highlight%28++x+=+279936+%29
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Check: 279936%5E%281%2F7%29+=+6+ (ok)

Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
.
x = 6%5E7 = 279936.