Find the value of $x$ such that ${2}^{x}=10$

civilnogwu
2022-07-08
Answered

Find the value of $x$ such that ${2}^{x}=10$

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asked 2021-01-15

Solve the equation and find the exact solution:

$\mathrm{log}base2\left(\mathrm{log}base3\left(\mathrm{log}base4\left(x\right)\right)\right)=0$

asked 2022-08-17

Steps to Graph Exponential Equations & Absolute Value

how to sketch: $-{e}^{|-x-1|}+2$

Can someone clarify:

$|f(x)|:$ we draw $f(x)$ and then reflect the ($-y$ parts) in the $x$-axis

$f|(x)|:$ we draw $f(x)$ and then reflect the ($-x$ parts) in the $y$-axis (symmetry on left and right hand side), can someone correct me here!

The Steps to sketch the above equation:

1.The original equation is e^x which then becomes e^|x| which shows to have undergone f|(x)|

2.We sketch -e^(-x-1) without applying the absolute value

3.Then we apply the absolute value, by reflecting along the turning point

4.Then we shift the graph up 2 units

so basically:

1.draw the e^x graph

2.apply the reflections/dilations/horizontal translations

3.apply f(|x|)

4.apply the vertical transformation

can someone correct me here.

how to sketch: $-{e}^{|-x-1|}+2$

Can someone clarify:

$|f(x)|:$ we draw $f(x)$ and then reflect the ($-y$ parts) in the $x$-axis

$f|(x)|:$ we draw $f(x)$ and then reflect the ($-x$ parts) in the $y$-axis (symmetry on left and right hand side), can someone correct me here!

The Steps to sketch the above equation:

1.The original equation is e^x which then becomes e^|x| which shows to have undergone f|(x)|

2.We sketch -e^(-x-1) without applying the absolute value

3.Then we apply the absolute value, by reflecting along the turning point

4.Then we shift the graph up 2 units

so basically:

1.draw the e^x graph

2.apply the reflections/dilations/horizontal translations

3.apply f(|x|)

4.apply the vertical transformation

can someone correct me here.

asked 2022-09-26

Solve for x: $\mathrm{log}x+\mathrm{log}(x+2)=7$

asked 2022-08-01

Find the base of x

73 (with base 8) = 214 (with base x)

73 (with base 8) = 214 (with base x)

asked 2022-07-15

Which is greater: ${n}^{1.01}$ or $n\cdot lo{g}_{10}(n)$?

Can someone please explain how the right side can be less than the left side? I have plugged numerous numbers into n and every time I get the left side being less than the right side. My professor is convinced the right side is less than the left side. He has a PHD in math so he should be right. I just don't understand his explanation.

${n}^{1.01}<n\cdot lo{g}_{10}(n)$

${1000}^{1.01}<1000\ast lo{g}_{10}(1000)$

$1071.51<3000$

Can someone please explain how the right side can be less than the left side? I have plugged numerous numbers into n and every time I get the left side being less than the right side. My professor is convinced the right side is less than the left side. He has a PHD in math so he should be right. I just don't understand his explanation.

${n}^{1.01}<n\cdot lo{g}_{10}(n)$

${1000}^{1.01}<1000\ast lo{g}_{10}(1000)$

$1071.51<3000$

asked 2022-06-26

Is anyway to prove this: $\prod _{k=1}^{n}({a}_{k})<(1/{n}^{n})\ast (\sum _{k=1}^{n}(\sqrt{1+{a}_{k}\ast {a}_{k+1}}){)}^{n}$

ak and n are positive real number greater than 0.

EDIT: a_{k+1} becomes a_{1} when a_{k}=a_{n}, it is a cylic notation. SORRY.

Any ideas of how to attack the problem?? Thank You.

I don't know if this could help, but the 1/n is also the exponent for the left hand side. I'm thinking maybe of log??

I'm pretty sure that at some point it would be helpful the binominal coefficent?? I don't know.

ak and n are positive real number greater than 0.

EDIT: a_{k+1} becomes a_{1} when a_{k}=a_{n}, it is a cylic notation. SORRY.

Any ideas of how to attack the problem?? Thank You.

I don't know if this could help, but the 1/n is also the exponent for the left hand side. I'm thinking maybe of log??

I'm pretty sure that at some point it would be helpful the binominal coefficent?? I don't know.

asked 2022-03-30