Question

x^(x+6)=x^(4x-3)

I got x=3, but there is another answer: x=1
why and how do I reach it?

Answer 1

it should be 3 i guess

Answer 2

so how do you think 1 on indifferent exponent how many will be ?

Answer 3

hope yo know that 1 on indifferent exponent will be 1

yes ?

Answer 4

That's a good point jhonyy, perhaps my example wasn't good enough, here is another one:

(x-3)^(x-3)=(x-3)^(4-x)

Answer 5

Again I get 3.5, but there is also 4

Answer 6

but for the first exercise the 3 is right too

than you just need make try calcule it and see that will add the same answer

Answer 7

for the second you see that the base so in this case (x-3) is equale in other sides

so than just you need make the exponents equales

ok ?

Answer 8

i have to make them equal to 1?

Answer 9

why 1 ?

Answer 10

(x-3), if x is 4, then the base is 1 and therefore 1 to any power is 1

Answer 11

(x-3)^(x-3)=(x-3)^(4-x) => x=4
(4-3)^(4-3)=(4-3)^(4-4)
1^1=1^0
1=1

Answer 12

yes 4 is right

Answer 13

I see

Answer 14

hope you understand it now sure

Answer 15

Yeah thanks man

Answer 16

my pleasure