If 6^ = 1/126 find the value of x

Please ask help with b

9514 1404 393

  a) x = -3

  b) 1/250

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

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a) It is helpful to know that 216 = 6^3.* Then you would realize that ...

If you don't know that, then you can solve the equation using logarithms. Taking the log of both sides, you have ...

  x·log(6) = log(1/216)

  x = log(1/216)/log(6) = -3

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b)

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* This would be on your list of cubes of small integers that you might want to memorize, along with squares of numbers less than 20.

can you make your screen more see able?

then i might be able to .

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.