[\dfrac{256}{81}] If \log_x(\frac{9}{16})=-\frac{1}{2},then x is equal to :

Easy Tutorial

For Competitive Exams

Aptitude

TNPSC G4

10th CBSE Maths

If $\log_x(\frac{9}{16})=-\frac{1}{2}$,then x is equal to :

$-\dfrac{3}{4}$

$\dfrac{3}{4}$

$\dfrac{81}{256}$

$\dfrac{256}{81}$

Explanation:

$\log_(\dfrac{9}{16})$=$-\dfrac{1}{2}$
=>$x^{\dfrac{-1}{2}}$=$\dfrac{9}{16}$
=>$\dfrac{1}{\sqrt{x}}$=$\dfrac{9}{16}$
=>$\dfrac{1}{\sqrt{x}}$=$\dfrac{16}{9}$
=>$\sqrt{x}$=$\dfrac{16}{9}$
=>x=$(\dfrac{16}{9})^{2}$
=>x=$\dfrac{256}{81}$

Additional Questions

$\dfrac{\log\sqrt{8}}{log 8}$ is equal to	Answer
If $\log{x}{y}=100\: and \: \log{2}{x}=10$,then the value of y is	Answer
If $log 2 = 0.3010 \:and \:log 3 = 0.4771,\: the\: value \:of \:\log_{5}{512} $is:	Answer
If log 27 = 1.431, then the value of log 9 is:	Answer
If $a^{x}=b^{y}$,then	Answer
Which of the following statements is not correct?	Answer
If $\log_{10}{2}=0.3010,then \log_{2}{10}$ is equal to :	Answer
If log 2 = 0.30103, the number of digits in $2^{64} $is:	Answer
If $\log_{10}{2}=0.3010,then \log_{10}{80}$ is equal to :	Answer
If $\log_x(\frac{9}{16})=-\frac{1}{2}$,then x is equal to :	Answer

Share with Friends