Powharmonic series: Difference between revisions

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 </math>
-* <span><math>\log_{b}x</math></span> gives the power to which <span><math>b</math></span> must be raised to give <span><math>x</math></span>
+Breaking this down step by step:
-* whenever <span><math>x</math></span> is a power of <span><math>b</math></span>, <span><math>\log_{b}x</math></span> will be an integer
-* whenever <span><math>\log_{b}x</math></span> is an integer, we raise <span><math>x</math></span> to an integer power
+# <span><math>\log_{b}x</math></span> gives the power to which <span><math>b</math></span> must be raised to give <span><math>x</math></span>
-* <span><math>x</math></span> increments linearly by 1
+# whenever <span><math>x</math></span> is an integer power (squared, cubed, etc.) of <span><math>b</math></span>, <span><math>\log_{b}x</math></span> will be an integer
-* it takes longer and longer each time for <span><math>x</math></span> to reach the next power of <span><math>b</math></span>
+# whenever <span><math>\log_{b}x</math></span> is an integer, we raise <span><math>a</math></span> to an integer power
+# <span><math>x</math></span> increments linearly by 1
+# it takes longer and longer each time for <span><math>x</math></span> to reach the next power of <span><math>b</math></span>
 == ln-of-a-powharmonic series ==