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  • 06-06-2020
  • Mathematics
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27^x=1/9 find the value of x with steps

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 06-06-2020

Answer:

x = -2/3

Step-by-step explanation:

27^x=1/9

writing 27 as 3^3  and 1/9 as 3 ^-2

3^3^x = 3^-2

We know that a^b^c =a^(b*c)

3^(3x) = 3^-2

Since the bases are the same the exponents need to be the same

3x = -2

x = -2/3

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