Risolvi log_{3}({ex^2+9y^2})+log_{3}({5})=3

Trova x (soluzione complessa)

x=-\frac{3i\sqrt{\frac{5\left(5y^{2}-3\right)}{e}}}{5}

x=\frac{3i\sqrt{\frac{5\left(5y^{2}-3\right)}{e}}}{5}

Trova y (soluzione complessa)

y=-\frac{\sqrt{135-25ex^{2}}}{15}

y=\frac{\sqrt{135-25ex^{2}}}{15}

Trova x

x=\frac{3\sqrt{\frac{5\left(3-5y^{2}\right)}{e}}}{5}

x=-\frac{3\sqrt{\frac{5\left(3-5y^{2}\right)}{e}}}{5}\text{, }\left(y\neq 0\text{ and }|y|\leq \frac{\sqrt{15}}{5}\right)\text{ or }|y|<\frac{\sqrt{15}}{5}

Trova y

y=\frac{\sqrt{135-25ex^{2}}}{15}

y=-\frac{\sqrt{135-25ex^{2}}}{15}\text{, }\left(x\neq 0\text{ and }|x|\leq \frac{9}{\sqrt{15e}}\right)\text{ or }|x|<\frac{9}{\sqrt{15e}}

Grafico

Quiz

Algebra

5 problemi simili a:

\log_{ 3 }({ e { x }^{ 2 } +9 { y }^{ 2 } }) + \log_{ 3 }({ 5 }) = 3

Problemi simili da ricerca Web

Probability distribution of the product of random numbers

https://math.stackexchange.com/q/726144

As a general advice, you are looking for products of random variables (or, more generally, products of functions of random variables). To determine the distribution (pdf, cdf) of a product of random ...

How to solve: \frac{x}{\log_2(x) }= y

https://math.stackexchange.com/questions/1095324/how-to-solve-fracx-log-2x-y

\begin{array}{rcl} \displaystyle\frac{x}{\log_2(x)}&=&y\\ \displaystyle\frac{x}{\ln(x)}&=&\displaystyle\frac{y}{\ln(2)}\\ \displaystyle\frac{\ln(x)}{x}&=&\displaystyle\frac{\ln(2)}{y}\\ \displaystyle\frac{-\ln(x)}{x}&=&\displaystyle-\frac{\ln(2)}{y}\\ \displaystyle\frac{1}{x}{\ln(\frac{1}{x})}&=&\displaystyle-\frac{1}{y}\ln(2)\\ \end{array} ...

Why is the harmonic function \log(x^2 + y^2) not the real part of any function that is analytic in \mathbb{C} - \{0\} ?

https://math.stackexchange.com/questions/418432/why-is-the-harmonic-function-logx2-y2-not-the-real-part-of-any-functi

Be careful when saying that \log(z^2) is "the only analytic function" with real part \log(x^2 + y^2), because (a) however you define it you will have some complex angle (branch cut) where it is ...

Field lines of vector field

https://math.stackexchange.com/questions/718136/field-lines-of-vector-field

You can see it directly from the formula. G(x,y) = \frac{2}{|(x,y)|^2}(x,y) = \frac{2}{r^2}(x,y) (where r is the magnitude of (x,y)) so the field vector at (x,y) points in the same ...

Can f be continuously extended to zero?

https://math.stackexchange.com/questions/2273560/can-f-be-continuously-extended-to-zero

In polars we get \ln f(x,y)=2r^2(\cos t\sin t)\ln r=r^2\sin(2t)\ln r. This is between \pm r^2|\ln r|. Now r^2\ln r\to0 as r\to 0. So f(x,y)\to1.

Properly changing the time scale of a parameter in a growth model

https://biology.stackexchange.com/q/64336

These values are not absurd: it's just a different unit, it does not change the reality of th phenomenon. The fact that your population can grow by a 48 or 36~\mathrm{log} factor in one day, while ...

Copiato negli Appunti

Esempi

Equazione quadratica

{ x } ^ { 2 } - 4 x - 5 = 0

Trigonometria

4 \sin \theta \cos \theta = 2 \sin \theta

\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]

Equazione simultanea

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

Differenziazione

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

Integrazione

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

Limiti

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}

Argomenti

Argomenti

Problemi simili da ricerca Web

Condividi

Esempi