Question

Find x, if 5⁶^x= (625)³.​

Answer 1

Answer:

6 is the 100% correct answer

Step-by-step explanation:

So ,

we can write 625 as 25 × 25 or 25^2

Now as 3 is already given so we can write this as

25^(3×2) or 25^6

Now ATQ ,

we will make all the numbers 5 with respect to their powers ... or ,

5^6 × 25^6 = 5^2x

or 5^6 × 5^12 = 5^2x........(5^12 as by breaking 25^6 we get 5^(6×2).

or by property of powers , (i.e. a ×b = a+b)

6+6= 2x

or 2x=12

or x=6{Ans}

Mark this as a brainlist if this helps ya.

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

625^x=5^2/5^x

5^4x=5^2-x

4x=2-x

4x plus x=2

5x=2

x=2/5