Question

5^x(x-1)=1


Solve the equation

Answer 1

x≈1.1556747
explaination- solve for x by simplifying both sides of the equation, then isolating the variable

Answer 2

Explanation:

we use indicies to solving this mathematical expression.

5ˣ( x - 1 )

from the laws of indicies,

5⁰ = 1 ,

Therefore,

5ˣ( x - 1 ) = 5⁰,

considering the equation now, 5 is common to both the left and right hand of the equation, we divide by 5, we now have

x( x - 1 ) = 0

Now open the bracket, we now have

x² - x = 0

factorise

x( x - 1 ) = 0

Therefore

x = 0 or x = 1