64^x=1/512

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Solution for 64^x=1/512 equation: 



64^x=1/512

We move all terms to the left:

64^x-(1/512)=0

We add all the numbers together, and all the variables

64^x-(+1/512)=0

We get rid of parentheses

64^x-1/512=0

We multiply all the terms by the denominator


64^x*512-1=0

Wy multiply elements

32768x-1=0

We move all terms containing x to the left, all other terms to the right

32768x=1

x=1/32768

x=1/32768

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