iCON Education - Logarithms TS-EAMCET Test

Question 1: Palette 1/4

TS-EAMCET 2023 MCQ

$ \sinh (\log (3+\sqrt{8}))= $

A

$3^{\frac{3}{2}}$

B

$2^{\frac{3}{2}}$

C

$8^{\frac{2}{3}}$

D

$3^{\frac{1}{2}}$

Question 2: Palette 2/4

TS-EAMCET 2023 MCQ

The range of the function $f(x)=\log _{0.5}\left(x^4-2 x^2+3\right)$ is

A

$(-\infty, \infty)$

B

$(-\infty,-1]$

C

$[-1, \infty)$

D

$[-1,1]$

Question 3: Palette 3/4

TS-EAMCET 2023 MCQ

If $\sinh (\log x)=-2$, then $x=$

A

$\sqrt{5}-2$

B

$2+\sqrt{5}$

C

$-(2+\sqrt{5})$

D

$2-\sqrt{5}$

Question 4: Palette 4/4

TS-EAMCET 2020 MCQ

$ \log (9+3 \sqrt{2}(2+\sqrt{5})+4 \sqrt{5})= $

A

$\sinh ^{-1} 3+\cosh ^{-1}\left(\frac{1}{3}\right)$

B

$\cosh ^{-1} 3+\sinh ^{-1} 3$

C

$\tanh ^{-1} 3+\sinh ^{-1} 3$

D

$\cosh ^{-1} 3+\tanh ^{-1} 3$