what is the value of log 2 by 16
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answer is 2.4082399653
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log2(16)=xlog2(16)=x
Rewrite log2(16)=xlog2(16)=x in exponential form using the definition of a logarithm. If xx and bb are positive real numbers and bb does not equal 11, then logb(x)=ylogb(x)=y is equivalent to by=xby=x.
2x=162x=16
Create equivalent expressions in the equation that all have equal bases.
2x=242x=24
Since the bases are the same, the two expressions are only equal if the exponents are also equal.
x=4x=4
The variable xx is equal to 44.
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