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MrRa [10]
3 years ago
7

2.36 = -logx solve for x

Mathematics
1 answer:
arlik [135]3 years ago
4 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:

            <em> " log(x) = the power that 10 must be raised to </em>
<em>                            in order to wind up with 'x'. "</em>

You said    2.36 = -log(x)

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

Now translate it into the mantra:

    <em> The power that 10 must be raised to </em>
<em>     in order to wind up with 'x' is  -2.36 .</em>

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) = <em>0.004365...</em> (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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