# Recent questions tagged logarithms

1
If $\log _{e}x+\log _{e}(1+x)=0,$ then: $x^{2}+x-1=0$ $x^{2}+x+1=0$ $x^{2}+x-e=0$ $x^{2}+x+e=0$
2
If $\log_{x}y=100$ and $\log_{2}x=10$, then the value of $y$ is : $2^{10}$ $2^{100}$ $2^{1000}$ $2^{10000}$
1 vote
3
If three positive real numbers $a, b$ and $c(c>a)$ are in Harmonic Progression, then $log\left ( a+c \right )+log\left ( a-2b+c \right )$ is equal to: $2\:log\left ( c-b \right )$ $2\:log\left ( a-c\right )$ $2\:log\left ( c-a\right )$ $log\:a+log\:b+log\:c$
1 vote
If $a=b^{2}=c^{3}=d^{4}$ then the value of $log_{a}$ $(abcd)$ would be $log_{a}1+log_{a}2+log_{a}3+log_{a}4$ $log_{a}24$ $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}$ $1+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}$
Choose the best alternative If $\log_{7} \log_{5} (x+5x+x)=0$; find the value of $x$. 1 0 2 None of these