Question

if (2/3)^x+2=(3/2)^2-2x then x=​

Answer 1

Answer:

4

Step-by-step explanation:

comparing power of rhs and lhs we get this.

Answer 2

Answer:

Thr value of x is 4

Step-by-step explanation:

The given exponent is

$(\frac{2}{3} ) {}^{x + 2} = ( \frac{3}{2} ) {}^{2 - 2x}$

We solve it in the way as given below

$( \frac{2}{3} ) {}^{x + 2} = ( \frac{2}{3} ) {}^{ - (2 - 2x)} \\ = > ( \frac{2}{3} ) {}^{x + 2} = ( \frac{2}{3} ) {}^{ (2x - 2)}$

When the bases are equal the the powers are also equal.Hence

$= > x + 2 = 2x - 2 \\ = > x = 4$

Therefore,the value of x is 4

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