mcwaynemandi
mcwaynemandi mcwaynemandi
  • 08-01-2017
  • Mathematics
contestada

the value of x in the equation 4^(2x+5)=8^(3x)

Respuesta :

olemakpadu
olemakpadu olemakpadu
  • 08-01-2017
4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

But 4 = 2²  and 8 = 2³

4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

2²⁽²ˣ ⁺ ⁵⁾ = (2³)³ˣ

Multiply out the powers, also since the
 
 2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ

Since the bases are the same, hence the powers are also the same.

4x + 10 = 9x

4x - 9x = -10

-5x = -10

x = -10/-5

x = 2

Hope this explains it.
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