Question

18. Calculate the value of 'x' in the following expressions :
(11/9)^3 ×(11/9)^6 = (11/9)^2x-1​

Answer 1

Answer:

X = 5

Step-by-step explanation:

Given,

${ (\frac{11}{9}) }^{3} \times {( \frac{11}{9} )}^{6} = { \frac{11}{9} }^{2x - 1}$

Solution:

$= > { (\frac{11}{9}) }^{3 + 6} = { (\frac{11}{9}) }^{2x - 1}$

Since,

${a}^{x} \times {a}^{y} = {a}^{x + y}$

Hence,

$= > { (\frac{11}{9}) }^{9} = { (\frac{11}{9}) }^{2x - 1}$

As the bases are same,

Therefore,

=> 9 = 2x - 1

=> 9 + 1 = 2x

=> 2x = 10

$= > x = \frac{10}{2}$

=> x = 5

Result:

Hence, value of x is 5 (Ans)