Question

Look at my question and find the value of x in the given equation. The one will give the correct answer in short time will be awarded as the brainliest and the other who will answer will be rewarded by points and likes​

Answer 1

Let's analyze only the terms related with power of 5.

All terms which will be a multiple of 5 will come from 225 and 5³

225 = 25 * 9 = 5² * 9

Let 3^(2x-8) = k. We won't be dealing with this term at all.

Now on rearrangement

k∗5x=53∗52∗9k∗5x=53∗52∗9

By comparison of powers

5x=53∗52=5(2+3)=555x=53∗52=5(2+3)=55

x=5x=5

To cross check you can see that k = 9 = 3²

but k = 3^(2x-8)

So 2x-8=2; 2x = 10 so x=5

In both cases we get the same answer

Hope it helps