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11 February, 11:43

2.36 = - logx

solve for x

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Answers (1)
  1. 11 February, 14:02
    0
    Here's what you have to keep saying to yourself until it carves a new

    groove into your brain and you don't have to think about it any more:

    " log (x) = the power that 10 must be raised to

    in order to wind up with 'x'. "

    You said 2.36 = - log (x)

    Multiply each side by - 1 : log (x) = - 2.36

    Now translate it into the mantra:

    The power that 10 must be raised to

    in order to wind up with 'x' is - 2.36.

    Do you see what that means?!?

    If the power that 10 must be raised to in order to wind up with 'x'

    is - 2.36, then all you have to do to find 'x' is raise 10 to the power

    of - 2.36! You can do that with about 4 clicks on your calculator.

    10^ (-2.36) = 0.004365 ... (rounded)

    And if you don't quite believe it, it's even easier to check it.

    Punch " 0.004365 " into your calculator, and then touch the

    " 10^x " key, and something very close to - 2.36 will pop up

    right there, before your wondrous eyes.
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