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Evaluate the following expression. log4^16

Evaluate the following expression. log4^16
asked Jul 6, 2011 in Algebra 1 Answers by anonymous
edited Jul 14, 2011 by mshelton




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2 Answers

log4^16 = log4^(4*4) = log4^(4^2) = 2*log4^4 = 2*1 = 2
answered Jul 7, 2011 by anonymous

This expresses the base-10/common logarithm of positive real number 4^16,

since nothing specific is defined on its base.

Using a calculator equipped with common logarithm functions, we have

log4^16 = 16 x log(4) (= 16 x 0.6020599913…) = 9.632959861… ≈ 9.633

or using the x^n key for 4^16, we have

log(4^16) = 9.632959861… ≈ 9.633

answered Jan 9 by tokiokid70
edited Jan 17

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