Question

Minus 3 by 2 to the power 6 into 4 by 9 to the power 3 equal to the 1 by 2 to the power 3x find the value of x​

Answer 1

The value of x is 0

Step-by-step explanation:

To find: The value of x

$(\dfrac{3}{2} )^6\times(\dfrac{4}{9} )^3=( \dfrac{1}{2})^{3x}$

Therefore we have

$(\dfrac{3}{2} )^6\times(\dfrac{2^2}{3^2} )^3=( \dfrac{1}{2})^{3x}\\\\\Rightarrow (\dfrac{3}{2} )^6\times((\dfrac{2}{3})^2 )^3=( \dfrac{1}{2})^{3x} }$

Now as we know $(a^m)^n=a^{mn}$

We have

$(\dfrac{3}{2} )^6\times(\dfrac{2}{3} )^6=( \dfrac{1}{2})^{3x} }\\\\\Rightarrow \dfrac{3^6\times 2^6}{2^6\times 3^6} =( \dfrac{1}{2})^{3x} }\\\\\Rightarrow 1=( \dfrac{1}{2})^{3x} }\\\\\Rightarrow ( \dfrac{1}{2})^0 }= ( \dfrac{1}{2})^{3x} }$

Because $a^0=1$

Now comparing the exponents we get

0=3x

⇒x=0

Hence, the value of x is 0

#Learn more

If 9 power x multiplied by 3 power 2 multiplied by 3 power -x by 2 multiplied by -2 is equal to 1 divided by 27 then x is equal to ???

brainly.in/question/2485405

Answer 2

Answer:

hi my friends I am not able understand I have to