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29 September, 23:23

Consider the equation - 2 ⋅ 1 0 4 x = - 300 - 2⋅10 4x = -300minus, 2, dot, 10, start superscript, 4, x, end superscript, equals, minus, 300. Solve the equation for x xx. Express the solution as a logarithm in base - 10 1010. x = x=x, equals

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  1. 29 September, 23:31
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    x = log150/log10000

    Step-by-step explanation:

    Given the equation - 2.10^4x = - 300

    To express x as a log to base 10:

    Step 1;

    Divide both sides by - 2

    -2.10^4x = - 300

    10^4x = - 300/-2

    10^4x = 150

    Step 2:

    Taking log of both sides

    log 10^4x = log 150

    4x = log 150

    x = log150/4

    x = log150/log10000
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