Question

Solve the exponential equation 125^7x-2=150

Answer 1

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

Answer 2

Isolate the ^ add add 2