Question

solve 81 the power 2x=729the power 2​

Answer 1

Answer:

Step-by-step explanation:

81^2x=729^2

9^4x=9^6

4x=6

x=6/4

x=3/2

Answer 2

x=$\frac{3}{2}$

• Given $81^{2x} = 729^{2}$
• Now we make the base same to compare the powers and equate them to find out x.
• $9^{(2)^{2x}} = 9^{3^{2} }$

• $9^{4x} = 9^{6}$
• As the base on both sides is same we can compare the powers directly, we get 4x = 6
• x = $\frac{3}{2}$