Question

I need help with this practice problem I’m having trouble

Answer 1

Part N 1

`2^((6\log _22))=12`

Apply property of log

`\log _22=1`

so

`\begin{gathered} 2^((6\cdot1))=12 \\ 2^6=12\text{ -}\longrightarrow\text{ is not true} \end{gathered}`

the answer is false

Part N 2

we have

`(1)/(4)\ln e^8=\sqrt[4]{8}`

applying property of log

`(1)/(4)\ln e^8=(8)/(4)\ln e=2\ln e=2`

so

`2=\sqrt[4]{8}\text{ ---}\longrightarrow\text{ is not true}`

the answer is false

Part N 3

we have

`10^((\log 1000-2))=10`

log1000=3

so

log1000-2=3-2=1

10^1=10 -----> is true

the answer is true