16^x=2

\(\frac{1}{4}\)

.

\(16^x = 2\\ x\ln 16 = \ln 2\\ x =\dfrac{\ln 2}{\ln 16} = \dfrac{\ln 2}{\ln(2^4)}=\dfrac{\ln2}{4\ln 2}=\dfrac{1}{4}\)

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