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Recent questions tagged logarithms

4 4 votes
2 2 answers
GATE Civil 2023 Set 2 | GA | Question: 9
If $x$ satisfies the equation $4^{8^{x}}=256$, then $x$ is equal to __________.$\frac{1}{2}$ $\log _{16} 8$$\frac{2}{3}$$\log _{4} 8$
8 8 votes
4 answers 4 answers
GATE Civil 2023 Set 1 | GA | Question: 9
Let $a=30 !, b=50!,$ and $c=100!.$ Consider the following numbers:$$\log _a c, \quad \log _c a, \quad \log _b a, \quad \log _a b$$Which one of the following inequalities ...
12 12 votes
2 answers 2 answers
GATE Civil 2018 Set 2 | GA | Question: 5
For non-negative integers, $a, b, c$, what would be the value of $a+b+c$ if $\log a + \log b + \log c = 0$?$3$$1$$0$$-1$
9 9 votes
2 answers 2 answers
GATE Civil 2018 Set 2 | GA | Question: 9
Given that $\dfrac{\log P}{y-z} = \dfrac{\log Q}{z-x} = \dfrac{\log R}{x-y} = 10$ for $x \neq y \neq z$, what is the value of the product $PQR$?$0$$1$$xyz$$10^{xyz}$
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