Find possible values of x so (5^x-2^x+3)^3 = (5^x-5)^3 - (2^x-8)^3

[btw]

Find all possible values of x, such that

. . .\(\displaystyle (5^x\, -\, 2^x\, +\, 3)^3\, =\, (5^x\, -\, 5)^3\, -\, (2^x\, -\, 8)^3\)

 

[Deleted member 4993]

Find all possible values of x, such that

. . .\(\displaystyle (5^x\, -\, 2^x\, +\, 3)^3\, =\, (5^x\, -\, 5)^3\, -\, (2^x\, -\, 8)^3\)

Hint: (a - b)^3 = a^3 - b^3 - 3ba^2 + 3ab^2 ......... sign error fixed

and

3 = -5 - (-8)

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33