Find the solution of the exponential equation, rounded to two decimal places

ossidianaZ

ossidianaZ

Answered question

2021-09-18

Find the solution of the exponential equation, rounded to two decimal places
e3x2=ex2

Answer & Explanation

Bella

Bella

Skilled2021-09-19Added 81 answers

Consider the given exponential equation:
e3x2=ex2
Since, base is same, therefore, power gets equated.
So, we get,
3x2=x2
x23x+2=0
On splitting middle term, we get,
x22xx+2=0
x(x2)1(x2)=0
(x2)(x1)=0
either (x-2)=0 or (x-1)=0
x=2 or x=1
Hence, x=1,2 is the solution of given exponential equation.

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