((x+5)/5)^(x+5)=1024

Solution for ((x+5)/5)^(x+5)=1024 equation:

((x+5)/5)^(x+5)=1024

We move all terms to the left:

((x+5)/5)^(x+5)-(1024)=0


Domain of the equation: 5)^(x+5)!=0

x∈R


We multiply all the terms by the denominator


((x+5)-1024*5)^(x+5)=0


We calculate terms in parentheses: +((x+5)-1024*5)^(x+5), so:

(x+5)-1024*5)^(x+5

Wy multiply elements

(x+5)-5120x+5

We get rid of parentheses

x-5120x+5+5

We add all the numbers together, and all the variables

-5119x+10

Back to the equation:

+(-5119x+10)


We get rid of parentheses

-5119x+10=0

We move all terms containing x to the left, all other terms to the right

-5119x=-10

x=-10/-5119

x=10/5119