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ahrayia [7]
2 years ago
11

How would logx (49) = x look like in exponential form

Mathematics
1 answer:
Ivanshal [37]2 years ago
5 0

I'm assuming the given log equation is \log_{\text{x}}(49) = \text{x}

If so, then the exponential form is \text{x}^{\text{x}} = 49

This is because the general form \log_{\text{b}}(\text{x}) = \text{y} transforms into \text{y} = \text{b}^{\text{x}}

For both equations, the 'b' is the base.

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The difference of a number and four is no more than 8
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A pizza is divided into 12 pieces. Glenn and Sophie each ate 1/4 of the pizza on Thursday. The next day Sophie ate 1/3 of the pi
Natali5045456 [20]

Answer:

6 slices

Step-by-step explanation:

The full pizza is 12 pieces.  Divide 12 by 4 to find out how much she ate on Thursday.   1/4 of 12 is 3 so she ate 3 slices on Thursday.  Subtract 3 from 12 to find out how much was left for the next day.  There were 9 slices the next day.  Next, divide 9 by 3 to find out what 1/3 of 9 is.  1/3 of 9 is 3 so subtract 3 from the 9 slices.  6 slices are the original pizza remain.

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2 years ago
Graph the solutions of the inequality.<br> X-3&gt; 11<br> How do I know if the hole is open or close
34kurt

Answer:

x>14

Step-by-step explanation:

X-3> 11

Add 3 to each side

X-3+3> 11+3

x > 14

The hole is open  at 14 since it is greater than  

( it would be closed if it were ≥)  The line goes to the right since it is greater than

3 0
2 years ago
Find the cross product of <img src="https://tex.z-dn.net/?f=-%20%5Cfrac%7B3%7D%7B4%7Dv" id="TexFormula1" title="- \frac{3}{4}v"
dsp73
For any scalars c_1,c_2, we have

c_1\mathbf v\times c_2\mathbf w=c_1c_2\mathbf v\times\mathbf w

So

\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\mathbf v\times\mathbf w

We have

\mathbf v\times\mathbf w=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\-2&12&-3\\-7&4&-6\end{vmatrix}
=\begin{vmatrix}12&-3\\4&-6\end{vmatrix}\mathbf i-\begin{vmatrix}-2&-3\\-7&-6\end{vmatrix}\mathbf j+\begin{vmatrix}-2&12\\-7&4\end{vmatrix}\mathbf k
=-60\,\mathbf i-(-9)\,\mathbf j+76\,\mathbf k
=\begin{bmatrix}-60\\9\\76\end{bmatrix}

which makes

\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\begin{bmatrix}-60\\9\\76\end{bmatrix}=\begin{bmatrix}-\frac{45}2\\\\\frac{27}8\\\\\frac{57}2\end{bmatrix}
4 0
3 years ago
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