Answer
True.
$\log_bb^{2x}=2x$
Work Step by Step
$\log_bb^{2x}=y$
$b^{\log_bb^{2x}}=b^y$
$b^{2x}=b^y~~$ (Inverse property)
$y=2x~~$ (One-to-one property)
That is:
$\log_bb^{2x}=2x$
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