Let a , b , c be three distinct positive real numbers such that (… - Vidyadip

Question

Let $a , b , c$ be three distinct positive real numbers such that $(2 a)^{\log _{\varepsilon} a}=(b c)^{\log _e b}$ and $b^{\log _e 2}=a^{\log _e c}$. Then $6 a+5 b c$ is equal to $........$.

✓

Answer

d
BONUS

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The number of integral values of $'\alpha '$ for which the abscissa of point of intersection of lines $y = x + 9\alpha $ and $3\alpha x + 2y + 9 = 0$ is integer, is

If $(2021)^{3762}$ is divided by $17$, then the remainder is ........

The sum to infinity of the following series $\frac{1}{{1.2}} + \frac{1}{{2.3}} + \frac{1}{{3.4}} + ...........$ shall be

$\lim _{n \rightarrow \infty} \frac{1}{2^{n}}\left(\frac{1}{\sqrt{1-\frac{1}{2^{a}}}}+\frac{1}{\sqrt{1-\frac{2}{2^{n}}}}+\frac{1}{\sqrt{1-\frac{3}{2^{a}}}}+\ldots \ldots+\frac{1}{\sqrt{1-\frac{2^{a}-1}{2^{n}}}}\right)$ is equal to

Let $f(x) =\left| {\begin{array}{*{20}{c}}
{\cos \,x}&{\sin \,x}&{\cos \,x}\\
{\cos \,2x}&{\sin \,2x}&{2\,\cos \,2x}\\
{\cos \,3x}&{\sin \,3x}&{3\,\cos \,3x}
\end{array}} \right| $then $f ' \left( {\frac{\pi }{2}} \right)$=

$\int_0^1 {{{\cos }^{ - 1}}x\,dx = } $

The product $(32)(32)^{1/6}(32)^{1/36} ...... to\,\, \infty $ is

The probability of a bomb hitting a bridge is $\frac{1}{2}$ and two direct hits are needed to destroy it. The least number of bombs required so that the probability of the bridge beeing destroyed is greater then $0.9$, is

The mean and standard deviation of the marks of $10$ students were found to be $50$ and $12$ respectively. Later, it was observed that two marks $20$ and $25$ were wrongly read as $45$ and $50$ respectively. Then the correct variance is $............$.

The number of natural number $n$ in the interval $[1005, 2010]$ for which the polynomial. $1+x+x^2+x^3+\ldots+x^{n-1}$ divides the polynomial $1+x^2+x^4+x^6+\ldots+x^{2010}$ is