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If logx = -5, what is x?A. -0.00001B. 0.00001C. 0.00005D. -0.00005

Sagot :

Hello there. To solve this question, we have to remember some properties about logarithms.

Given the logarithmic equation:

[tex]\log(x)=-5[/tex]

We want to determine the value of x.

For this, remember the following rule:

[tex]\text{ For }a,\,b\in\mathbb{R}^+\text{ and }b\cancel{=}1,\text{ }\log_b(a)=c\Rightarrow a=b^c[/tex]

Such that, in this case, the logarithm has base 10, therefore

[tex]x=10^{-5}[/tex]

This power of 10 can be easily found :

[tex]x=0.00001[/tex]

It has 5 digits after the decimal place, being the fifth digit a 1.

This is the answer contained in the option B.

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