I don't see any equations. An equation should have an "=" sign somewhere.These are just some example equations:
60^x-36^x
or
30^x-25^x
where the x is raised to the power. How can (if possible) I simplify these equations?
So generally, you're looking at expressions of the form [itex]a^x-b^x[/itex] for positive a and b.These are just some example equations:
60^x-36^x
or
30^x-25^x
where the x is raised to the power. How can (if possible) I simplify these equations?
[tex](6(10))^x- (6(6))^x= 6^x10^x- 6^x6^x= 6^x(10^x- 6^x)[/tex]These are just some example equations:
60^x-36^x
[tex](6(5))^x- (5(5))^x= 5^x6^x- 5^x5^x= 5^x(6^x- 5^x)[/tex]or
30^x-25^x
You mean "where the x is the power."where the x is raised to the power.
How can (if possible) I simplify these equations?
If you wanted to solve an equation in this form (e.g. set it equal to something like a constant) you could solve it with the Lambert W function.These are just some example equations:
60^x-36^x
or
30^x-25^x
where the x is raised to the power. How can (if possible) I simplify these equations?
The first one can. The gcd of 10 and 6 is 2.However, neither [itex]10^x- 6^x[/itex] nor [itex]6^x- 5^x[/itex] can be further simplified.
Previous posts have simplified these by factoring out the greatest common denominators of 60, 36 and of 30, 25.These are just some example equations:
60^x-36^x
or
30^x-25^x
where the x is raised to the power. How can (if possible) I simplify these [strike]equations[/strike] expressions?