Question

Find the value of x needed to make the equation true.

Answer 1

x = -3

Explanation:

We know that,

`\sf a^x*a^y=a^(x+y)\\\\(a^x)^y=a^(xy)\\\\(a^x)/(a^y) =a^((x-y))`

Accordingly,

`\sf ((7^(10))^2)/(7^4) =(7^9*7^(10))/(7^x) \\\\\sf (7^(10*2))/(7^4) =(7^(9+10))/(7^x) \\\\\sf (7^(20))/(7^4) =(7^(19))/(7^x)\\\\7^(20-4)=7^((19-x))\\\\16=19-x\\\\16-19=x\\\\-3 =x`