Solve the exponential equation


125^7x-2=150

Verified Answer :

isolate the ^ add add 2

Simplifying
125 125 125 125 125 125 125x + -2 = 150


Multiply 125 125

15625
125 125 125 125 125x + -2 = 150

Multiply 15625 125

1953125
125 125 125 125x + -2 = 150

Multiply 1953125
125

244140625 125 125 125x + -2 = 150

Multiply 244140625
125

30517578130 125 125x + -2 = 150


Multiply 30517578130 125

3814697266000
125x + -2 = 150

Multiply 3814697266000 * 125

476837158300000x + -2 = 150


Reorder the terms:
-2 + 476837158300000x = 150


Solving

-2 + 476837158300000x = 150


Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.


Add '2' to each side of the equation.
-2 + 2 + 476837158300000x = 150 + 2


Combine like terms: -2 + 2 = 0

0 + 476837158300000x = 150 + 2

476837158300000x = 150 + 2


Combine like terms: 150 + 2 = 152
476837158300000x = 152


Divide each side by '476837158300000'.
x = 0.0000000000003187671039

Simplifying
x = 0.03187671039