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If I have a variuable with and exponential. How do I get rid of the exponent?

Example. $${{\mathtt{x}}}^{{\mathtt{0.4}}} = {\mathtt{4.065}}$$

 Oct 17, 2014

Best Answer 

 #1
avatar+130511 
+5

Take the log of both sides.....so we have

log x0.4 = log 4.065   ...... and by a log property...... logxa = (al)ogx      ......so we have

0.4log x = log 4.065       divide both sides by 0.4

log x  = log 4.065/0.4       and, in exponential form, we have

10 log 4.065/0.4  =   x   = about 33.316

 

 Oct 17, 2014
 #1
avatar+130511 
+5
Best Answer

Take the log of both sides.....so we have

log x0.4 = log 4.065   ...... and by a log property...... logxa = (al)ogx      ......so we have

0.4log x = log 4.065       divide both sides by 0.4

log x  = log 4.065/0.4       and, in exponential form, we have

10 log 4.065/0.4  =   x   = about 33.316

 

CPhill Oct 17, 2014

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