ParadiseX297300 ParadiseX297300
  • 31-10-2022
  • Mathematics
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What is the value of log4(1/64)?

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TerriahP658173 TerriahP658173
  • 31-10-2022

log4 (1/64) = x

Rewrite in exponential form:

logb(x)= y

b^y = x

4^x = 1/64

Rewrite as equations with equal base

(2^2)^x = 2^-6

2^2x = 2^-6

Equal exponents:

2x = -6

Solve for x

x = -6/2

x = -3

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