Part N 1
[tex]2^{(6\log _22)}=12[/tex]
Apply property of log
[tex]\log _22=1[/tex]
so
[tex]\begin{gathered} 2^{(6\cdot1)}=12 \\ 2^6=12\text{ -}\longrightarrow\text{ is not true} \end{gathered}[/tex]
the answer is false
Part N 2
we have
[tex]\frac{1}{4}\ln e^8=\sqrt[4]{8}[/tex]
applying property of log
[tex]\frac{1}{4}\ln e^8=\frac{8}{4}\ln e=2\ln e=2[/tex]
so
[tex]2=\sqrt[4]{8}\text{ ---}\longrightarrow\text{ is not true}[/tex]
the answer is false
Part N 3
we have
[tex]10^{(\log 1000-2)}=10[/tex]
log1000=3
so
log1000-2=3-2=1
10^1=10 -----> is true
the answer is true
