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

Question

asked Dec 12, 2023 166k views

1 Answer

Jesse · Answer 1 · 2023-12-18T23:50:39+0000

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