3 years ago

NEED HELP PLEASE!!!! 15 POINTS!

Mathematics

1 answer:

Tanya [424]3 years ago

5 0

Answer:

Step-by-step explanation:

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What is the solution to the equation below?

lara31 [8.8K]

Answer:

$x=4096$ , Option B

Step-by-step explanation:

Given, $\log_{8}x=4$

Formula needed,

$\log_{a}b=\frac{\log b}{\log a}$

Therefore,

$\log_{8}x=\frac{\log x}{\log 8}$

$\frac{\log x}{\log 8}=4$

${\log x}=4{\log 8}$

$\log x={\log 8^4}$

$x=8^4$

$x=4096$

Option B is correct.

8 0

3 years ago

Can anyone help me by just saying <br> number 1,2,3,4,5 you have to show work

Artist 52 [7]

2(x - 5) = 110

2x - 10 = 110

Add 10 to both sides.

2x = 120

Divide by 2 on both sides.

x = 60

4 0

2 years ago

It x, y, and z are positive intergers and 3x = 4y = 7z, then the least possible value of x + y + z is???

Dmitry [639]

$3x = 4y = 7z \\ \Rightarrow \begin{cases}3x - 4y = 0 \\4y - 7z = 0 \\ 7z - 3x = 0\end{cases} \\ \Leftrightarrow \begin{cases}x = \frac{4}{3} y\\4y - 7z = 0 \\ 7z - 3( \frac{4}{3}y) = 0\end{cases} \\ \Leftrightarrow \begin{cases}x = \frac{4}{3} y\\4y - 7z = 0 \\ 7z - 4y= 0\end{cases} \\ \Leftrightarrow \begin{cases}x = \frac{4}{3} y\\ y \\ z = \frac{4}{7}y \end{cases} \\ x,y,z\: are\: intergers\Rightarrow y=LCM(3,7)=21\Rightarrow x = 28,z = 12 \\ \Rightarrow x + y + z = 61$