SOLUTION: Solve the logarithmic equation. Round to the nearest ten-thousandth. log8x^3=4

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Question 692847: Solve the logarithmic equation. Round to the nearest ten-thousandth.
log8x^3=4
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28+8%2C+x%5E3+%29+=+4+
I can rewrite this as:
+8%5E4+=+x%5E3+
Now I can say
+%288%5E%284%2F3%29%29%5E3+=+x%5E3+
+x+=+8%5E%284%2F3%29+
+8%5E%284%2F3%29+=+8%5E%281%2F3%29%5E4+
+8%5E%281%2F3%29%5E4+=+2%5E4+
+2%5E4+=+16+
+x+=+16+
check answer:
+log%28+8%2C+x%5E3+%29+=+4+
+log%28+8%2C+16%5E3+%29+=+4+
+8%5E4+=+16%5E3+
+8%5E4+=+%28+2%2A8+%29%5E3+
+8%5E4+=+2%5E3+%2A+8%5E3+
+8%5E4+=+8%2A8%5E3+
+8%5E4+=+8%5E4+
OK