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5^x+2=9^x

 Mar 15, 2021
 #1
avatar+118015 
+1

I assume  that  this is

 

5^(x + 2)  =  9^x         we  can take the log of both sides

 

log 5 ^(x + 2)  =  log 9^x     and we  can write

 

(x + 2)  log 5 =  x log  9         

 

x log 5  + 2 log  5  =  x log 9

 

2log 5 =  x log 9  - x log 5

 

2 log 5 = x ( log 9 - log 5)

 

( 2log 5)  / ( log 9  - log 5)  = x  ≈  5.476 

 

 

cool cool cool

 Mar 15, 2021
 #2
avatar+31281 
+1

I was wondering too.... here is graphical solution for   5x  +2 = 9x

  x ~ .77367

 

 Mar 15, 2021

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