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If \(6^x = 5,\) find \(6^{3x+2}\).

 Dec 3, 2019

Best Answer 

 #1
avatar+8853 
+1

6x  =  5           Raise both sides of this equation to the power of 3

 

( 6x )3   =   53           Simplify the left side using the rule  ( xa )b  =   xab   and simplify the right side.

 

63x   =  125           Multiply both sides of the equation by  62

 

63x  ·  62  =  125 · 62           Simplify the left side using the rule  xa · xb  =  xa+b   and simplify the right side.

 

63x+2  =  4500

 Dec 3, 2019
 #1
avatar+8853 
+1
Best Answer

6x  =  5           Raise both sides of this equation to the power of 3

 

( 6x )3   =   53           Simplify the left side using the rule  ( xa )b  =   xab   and simplify the right side.

 

63x   =  125           Multiply both sides of the equation by  62

 

63x  ·  62  =  125 · 62           Simplify the left side using the rule  xa · xb  =  xa+b   and simplify the right side.

 

63x+2  =  4500

hectictar Dec 3, 2019
 #2
avatar+220 
+1

thank you so much! this helped me a lot :)

 Dec 3, 2019

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