SOLUTION: What is the value of x in log base x (log base 2(log base 2(log base x 9) = 0? I need ur answer, thank you...

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: What is the value of x in log base x (log base 2(log base 2(log base x 9) = 0? I need ur answer, thank you...      Log On


   

Question 697237: What is the value of x in log base x (log base 2(log base 2(log base x 9) = 0?
I need ur answer, thank you...
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In general I can say
+log+%28+x%2C1+%29+=+0+, so
+log%282%2C+%28+log%282%2C%28+log%28+x%2C9+%29%29%29%29%29+=+1+
Also, in general, I can say
+log%28+2%2C2+%29+=+1+, so
+log%28+2%2C%28+log%28+x%2C9+%29%29%29+=+2+
And in general,
+log%28+2%2C4+%29+=+2+, so
+log%28+x%2C9+%29+=+4+
I can write this as:
+x%5E4+=+9+
+x+=+9%5E%281%2F4%29+
+x+=+9%5E.25+
+x+=+1.73205+