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18 April, 23:53

Solve the exponential equation

125^7x-2=150

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Answers (2)
  1. 19 April, 00:48
    0
    Isolate the ^ add add 2
  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
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