5^x (x-1) = 1

Solve the equation

X≈1.1556747

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

Step-by-step 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