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November 23rd, 2014, 01:26 PM   #1
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Help please!

Can anyone solve this? I asked my peers for help, and none of us were able to solve this.

-Suppose you have a scientific calculator where some of the buttons are broken. In fact, the only working keys are the digits [0] to [9], [+],[-],[x],[*division sign*/], [ln], and [e^x].

Explain how you can use this calculator to calculate the square root of any whole number?
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November 23rd, 2014, 03:13 PM   #2
jks
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Hi Tejasvg, and welcome to the forums.

Punch in the number, take the ln, divide by 2 and then take e^x.

For example, to take the square root of 56, type:

[5],[6],[ln],[divide sign],[2],[=],[e^x]

This works because $\ln(x^{1/2})=\frac{1}{2}\ln(x)$.
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November 23rd, 2014, 04:50 PM   #3
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Thank you so much!
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