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26-11-2019
Mathematics

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if 12^-x=5, what does 12^2x equal

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marcthemathtutor marcthemathtutor

26-11-2019

Answer:

0.04

Step-by-step explanation:

12^(-x) = 5 (taking log on both sides)

log [ 12^(-x)] = log 5

-x log 12 = log 5

-x = log 5 / log 12

x = - (log 5/log12)

x = -0.6477

12^(2x)

= 12^[2(-0.6477)]

= 12 ^ (-1.295)

= 0.04

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