Solve the equation. 4^{x-3}=8^{4-x}

hexacordoK

hexacordoK

Answered question

2021-09-17

Solve the equation.
4x3=84x

Answer & Explanation

sweererlirumeX

sweererlirumeX

Skilled2021-09-18Added 91 answers

Given
4x3=84x
Solution
4x3=84x
(22)x3=(23)4x
22(x3)=23(4x)
from this we have,
2(x-3)=3(4-x)
2x-6=12-3x
2x+3x=12+6
5x=18
x=185
Therefore the value of x is 185.

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