Question

answer the question ☝️☝️​

Answer 1

$\huge{\boxed{\sf{SOLUTION :}}}$

It is given that,

${ (\frac{3}{4}) }^{ - 5} \times { (\frac{3}{4}) }^{ - 6} = { (\frac{3}{4}) }^{ - 2x - 3}$

Here, since the variables are same let's equate the components :

Since it is multiplied, we have to add the exponents of the left hand side.

$- 5 + ( - 6) = - 2x - 3$

$- 5 - 6 = - 2x - 3$

$- 11 = - 2x - 3$

$- 11 + 3 = - 2x$

$- 8 = - 2x$

$\frac{8}{2} = x$

$x = 4$

Hence,

Hence,The the required value of x is 4

Answer 2

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