Question

3^2x-8÷225=5^3÷5^x then x=?

Answer 1

answer is=5✋

hope this help you

Answer 2

The value of x is 5.

Given,

The equation: $\frac{3^{2x-8} }{225} =5^{3-x}$.

To Find,

The value of x.

Solution,

The method of finding the value of x in the equation is as follows -

Let us simplify the given equation.

$\frac{3^{2x-8} }{225} =5^{3-x}$

⇒ $\frac{3^{2x-8} }{5^{3-x}} =225$

⇒ $3^{2x-8} *5^{-(3-x)} =3^{2} *5^{2}$

Now we will compare the left-hand side and the right-hand side of the equation.

$2x-8=2$ ⇒ $2x=10$

⇒ $x=5$.

Also, $-(3-x)=2$ ⇒ $3-x=-2$

⇒ $x=3+2=5$.

Hence, the value of "x" in the equation is 5.

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