Question

9 by 4 to the power 3 into 8 by 9 to the power 3 equal to 2 to the power 6x find the value of the x ​

Answer 1

Answer:

1/2

Step-by-step explanation:

${( \frac{9}{4}) }^{3} \times {( \frac{8}{9} )}^{3} = {2}^{6x}$

$\frac{ {9}^{3} }{ {4}^{3} } \times \frac{ {8}^{3} }{{9}^{3} } = {2}^{6x}$

$\frac{ {8}^{3} }{ {4}^{3} } = {2}^{6x}$

${( \frac{8}{4}) }^{3} = {2}^{6x}$

${2}^{3} = {2}^{6x}$

Comparing both sides, we get

$3 = 6x$

$x = \frac{3}{6}$

$x = \frac{1}{2}$