+0

# 5^(x+1)+5*2^(x-2)=104

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449
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$${{\mathtt{5}}}^{\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}}{\mathtt{\,\times\,}}{{\mathtt{2}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{2}}\right)} = {\mathtt{104}}$$

Guest Aug 15, 2015

#2
+26625
+10

Here's a numerical approach:

x ≈ 1.858042273

.

Alan  Aug 15, 2015
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#1
+85644
+10

This would be a difficult one to solve, algebraically.....here's a graph of the solution......

https://www.desmos.com/calculator/ry6ssblibf

Desmos gives the solution as x = 1.858  [approximately]

[Thanks, Alan, for spotting my earlier mistake in typing in the incorrect function.......!!!! ]

CPhill  Aug 15, 2015
#2
+26625
+10

Here's a numerical approach:

x ≈ 1.858042273

.

Alan  Aug 15, 2015
#3
+92194
+5

CONTINUED  HERE

http://web2.0calc.com/questions/5-x-1-5-2-x-2-104-x-5

IT CAUSES CONFUSION AND WASTES ANSWERERS TIME.

IF YOUR QUESTION HAS FALLEN OFF THE FIRST PAGE (or even just a fair way back in the queue) THEN YOU CAN MAKE A NEW POST  THAT GIVES THE ADDRESS OF THE OLD POST!

Most times you will get an answer quickly if you do this. :)

Melody  Aug 16, 2015

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