solving exponential equation 10^3 = 10^2x + ^ 3

Question

solving exponential equation 10^3 = 10^2x + ^ 3

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Trung Dũng 5 months 2021-08-17T11:33:26+00:00 1 Answers 4 views 0

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    2021-08-17T11:34:42+00:00

    Answer:

    x = 4

    Step-by-step explanation:

    Simplifying

    2x + -10 = 10 + -3x

    Reorder the terms:

    -10 + 2x = 10 + -3x

    Solving

    -10 + 2x = 10 + -3x

    Solving for variable ‘x’.

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

    Add ‘3x’ to each side of the equation.

    -10 + 2x + 3x = 10 + -3x + 3x

    Combine like terms: 2x + 3x = 5x

    -10 + 5x = 10 + -3x + 3x

    Combine like terms: -3x + 3x = 0

    -10 + 5x = 10 + 0

    -10 + 5x = 10

    Add ’10’ to each side of the equation.

    -10 + 10 + 5x = 10 + 10

    Combine like terms: -10 + 10 = 0

    0 + 5x = 10 + 10

    5x = 10 + 10

    Combine like terms: 10 + 10 = 20

    5x = 20

    Divide each side by ‘5’.

    x = 4

    Simplifying

    x = 4

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