Question

Tìm x

(10 + 2x). 4²⁰¹¹= 4²⁰¹³                          12 (x-1) : 3 = 4³ + 2³

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Answer 1

\(\left(10+2x\right).4^{2011}=4^{2013}\)

\(\left(10+2x\right)=4^{2013}:4^{2011}\)

\(\left(10+2x\right)=4^{2013-2011}\)

`10+2x=4^2`

`10+2x=16`

`2x=16-10`

`2x=6`

`x=6:2`

`x=3`

___________________________

`12.(x-1):3=4^3 + 2^3`

`12.(x-1):3 = 64+8`

`12.(x-1):3=72`

`12.(x-1)=72.3`

`12.(x-1)=216`

`x-1=216:12`

`x-1=18`

`x=18+1`

`x=19`

 

Answer 2

`a, (10 + 2x) . 4^2011 = 4^2013`

`=> 10 + 2x = 4^(2013-2011)`

`=> 10+2x = 4^2 = 16`

`=> 2x = 6`

`=> x= 3`

`b, 12(x-1) : 3 = 4^3 + 2^3`

`=> 4(x-1) = 72`

`=> x-  1 = 18`

`=> x = 19`.