The properties of logarithm established in 33-35 are used in Sections 11.4 and 11.5. Prove that for all real numbers a, b, and x with b and x positive and
To prove that for all real numbers with positive and ,
are all positive real numbers.
Let are positive real numbers and .
Recall the fact that, for each positive real number and real number .
As get [By the fact ]
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