# Tagged Questions

202 views

### Can this log question be simplified?

${ 2^{log_3 5}} - {5^{log_3 2}}.$ I don't know any formula that can apply to it or is there a formula?? Even a hint will be helpful.
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### Simultaneous log equations

I'm going through logarithms at the moment, and I can't solve this simultaneous equation: $$\log x - \log 2 = 2\log y$$ $$x - 5y + 2 = 0$$ I've tried substituting both $x$ and $y$ to no avail: ...
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### Combining ±% with ±dB in measurement uncertainty

Firstly apologies if this is not the correct place to post this but wasn't sure which site would be good to ask regarding about measurement uncertainty calculation. I am trying to calculate the ...
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### Non-integral power of a singular matrix

I know, that if $A$ is nonsingular matrix, so $\det{A} \ne 0$, then $A^p=\exp\left(p\ln A\right)$ is true for any real exponent, but what about if $A$ is singular? Then $A$ has a zero eigenvalue, so ...
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### Solution for $x$ with exponents?

I am trying to solve the following, $$7^{(2x+1)} + (2(3)^x) - 56 = 0$$ Should I put the 56 on the other side and get the log of both sides and is there a better way to solve this.
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### Scaling a big range of small numbers to a small range of big numbers

I'm trying to make a volume meter in a Flash program. I have data coming in like: 0.008 0.0005 0.1 0.02 These numbers indicate the volume of a sound coming in ...
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### Question that can not be solve analytically .

You can know that the solution of this non-linear simultaneous equations is y=2 and x=3; but the question is : How can mathematically ( algebraically ) find this. \begin{array}{lcl} x^y & = & ...
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### Does log of a matrix factor through similarity? Is it a bijection up to branch choice?

When taking the log of a matrix we have various choices, but fixing a particular choice, we should have $$P^{-1}\log{(A)} P = \log(P^{-1}AP),$$ right? (Here $P \in GL$.) It is supported by the ...
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### Simple looking log problem

How would I solve this for $x$? The original problem is $$x+x^{\log_{2}3}=x^{\log_{2}5}$$ I have tried to reduce it down to this, $$x^{\log_{10}3}+x^{\log_{10}2}=x^{\log_{10}5}$$ I have been ...
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### determine x in $x\log_\frac{1}{10}(x^2+x+1)>0$

I wanted to know, how can i determine the values of x for which $x\log_\frac{1}{10}(x^2+x+1)>0$ going to the question, we must have $x>0$ and $\log_\frac{1}{10}(x^2+x+1)>0$ or both must ...
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### Value of Logarithm of negative number

Why the logarithmic value of negative number can't be define? Is there any special reason?
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### Simplifing logarithmic equation

I have the result of a differential equation to be: $$\ln(x+3)=3\ln(t+2)+C$$ I want this to be as simplified as possible. Can it be proceeded like: $$e^{(x+3)}=3e^{(t+2)+C}$$ I am not sure about ...
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### Specific range of numbers is given, trying to get another number within same range

I'm trying to calculate the width of an HTML element based on the window size. Here's what I have. These width values (first value) accurately match with the width the HTML element must be (second ...
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### How to learn graph plots of math functions?

I really don't know how to we say that a log function would look like this or polynomial function would look like this. I know that if I have like $X + Y = c$, I can draw straight line by taking ...
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### Can you use a logarithm coefficient in a linear equation?

I have an equation that looks like $x+(\ln3)y+z=0$ where there's a natural logarithm as a coefficient. Is it possible to have this in a linear equation? I know that you cannot have a root or a product ...
Start with a Markov matrix $\mathbf{M}$, whose elements are all between $0 \le \mathbf{M}_{ij} \le 1$ and each row sums to one. There is a natural connection with this matrix and the rate matrix ...