 Mathematics
18 April, 23:53

# Solve the exponential equation125^7x-2=150

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1. 19 April, 00:48
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2. 19 April, 01:49
0
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