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!

you forgot an image

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4