I need help on this, please explain how you get the result.

Step-by-step explanation:

We have the equation:

Let's simplify this a bit. Let . Then . We can substitute the exponents:

Use the properties of exponents, we can write . We can do the same thing on the right. So:

We can now factor out a from the left and a on the right. This yields:

Evaluate the expressions within the parentheses:

Evaluate:

Now, let's multiply both sides by . So:

Also, let's divide both sides by . Multiply on the right:

Therefore:

We can now substitute back u. Notice that 27 is the same as 3 cubed and 1000 is the same as 10 cubed. So:

Since they have the same base, their exponents must be equal. Therefore:

Add 2 to both sides:

So, the value of x is 5.

And we're done!