Which of the following numbers is/are positive?

Question

Which of the following numbers is/are positive? (A)  ln 2+ ln 3+ ln 0.161 (B)  ln 3+ ln (1.4)-(1/2) ln 16 (C) 1+2 log 10 3-3 log 10 5+ log 10 5 (D)  log (1/2)((1/3))- log (1/3)((1/2))

Tardigrade Admin · Accepted Answer

(A) ln (6 × 161/1000)= ln (966/1000)= ln 0.966=- ve (B) ln (((3)(1.4)/4))= ln ((4 ⋅ 2/4))=+ ve (C) log ((90 × 5/125))= log ((18/5))=+ ve (D) log 2 3- log 3 2=+ ve

Q. Which of the following numbers is/are positive?

$ln 2 + ln 3 + ln 0.161$

$ln 3 + ln (1.4) - \frac{1}{2} ln 16$

$1 + 2 lo g_{10} 3 - 3 lo g_{10} 5 + lo g_{10} 5$

$lo g_{\frac{1}{2}} (\frac{1}{3}) - lo g_{\frac{1}{3}} (\frac{1}{2})$

(A) $ln \frac{6 \times 161}{1000} = ln \frac{966}{1000} = ln 0.966 = - v e$
(B) $ln (\frac{( 3 ) ( 1.4 )}{4}) = ln (\frac{4 \cdot 2}{4}) = + v e$
(C) $lo g (\frac{90 \times 5}{125}) = lo g (\frac{18}{5}) = + v e$
(D) $lo g_{2} 3 - lo g_{3} 2 = +$ ve

Q. Which of the following numbers is/are positive?

ln2+ln3+ln0.161

ln3+ln(1.4)−21​ln16

1+2log10​3−3log10​5+log10​5

log21​​(31​)−log31​​(21​)

(A) ln10006×161​=ln1000966​=ln0.966=−ve (B) ln(4(3)(1.4)​)=ln(44⋅2​)=+ve (C) log(12590×5​)=log(518​)=+ve (D) log2​3−log3​2=+ ve

$ln 2 + ln 3 + ln 0.161$

$ln 3 + ln (1.4) - \frac{1}{2} ln 16$

$1 + 2 lo g_{10} 3 - 3 lo g_{10} 5 + lo g_{10} 5$

$lo g_{\frac{1}{2}} (\frac{1}{3}) - lo g_{\frac{1}{3}} (\frac{1}{2})$

(A) $ln \frac{6 \times 161}{1000} = ln \frac{966}{1000} = ln 0.966 = - v e$
(B) $ln (\frac{( 3 ) ( 1.4 )}{4}) = ln (\frac{4 \cdot 2}{4}) = + v e$
(C) $lo g (\frac{90 \times 5}{125}) = lo g (\frac{18}{5}) = + v e$
(D) $lo g_{2} 3 - lo g_{3} 2 = +$ ve