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Alla [95]
3 years ago
8

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variab

les represent positive real numbers.
log base two of eight minus log base two of z.

log base two of z divided by eight.

log base two of eight divided by z.

log base two of eight minus z.

log base four of eight divided by z.
Mathematics
1 answer:
Lorico [155]3 years ago
8 0

Answer:

log₂(8/z)

Step-by-step explanation:

The applicable rule is ...

log(a/b) = log(a) - log(b)

You have a=8 and b=z, so ...

... log₂(8) -log₂(z) = log₂(8/z)

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Travka [436]

Answer: y= 3x+2

Step-by-step explanation:

because....

The slope-intercept form is y= mx +b, where m is the slope and b is the y-intercept.Use the slope 3 and a given point (1,5) to substitute for  and  in the point-slope form .

y-(5)= 3*(x-(1))

After simplifying it,

the equation is going to be y= 3x+2.

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3 years ago
6. If you had $3.50 to spend on yogurt, can<br> you determine how many ounces you can<br> buy?
NikAS [45]

Answer:

yeah probably

Step-by-step explanation:

6 0
3 years ago
What is 150% of 3000? Round to the nearest hundredth
marin [14]

We want to find 150% of 3000. since 150% is greater than 100%, it is expected that 150% 0f 3000 will also be greater than 3000.

150\text{\% of 3000 }=\frac{150}{100}\times3000=4500

Therefore, 150% of 3000 is equal to 4500.

4 0
1 year ago
1)Convert the following binary numbwers into decimal number(only a,b,c,f,i)<br>​
kozerog [31]

Answer:

a) 3₁₀

b) 6₁₀

c) 7₁₀

f) 19₁₀

i) 181₁₀

Step-by-step explanation:

<u>Binary to Decimal Conversion (Positional Notation Method)</u>

  • Multiply each digit by the base (2) raised to the power dependent upon the position of that digit in the binary number.
  • Sum all the values obtained for each digit.
  • Express the number as a decimal number by placing subscript 10 after it.

For a binary number with 'n' digits:

  • The right-most digit is multiplied by 2⁰
  • The left-most digit is multiplied by \sf 2^{n-1}

For example, to convert the binary number 111001₂ into a decimal:

\begin{array}{ c c c c c c}1 & 1 & 1 & 0 & 0 & 1\\\downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^0\\\end{array}

Multiply each digit by the base (2) raised to the power as indicated above and sum them:

=(1 \times 2^5)+(1 \times 2^4)+(1 \times 2^3)+(0 \times 2^2)+(0 \times 2^1)+(1 \times 2^0)

= 32+16+8+0+0+1

= 57

Finally, express as a decimal number ⇒ 111001₂ = 57₁₀

<u>Question (a)</u>

\begin{aligned}\implies 11_2 & = (1 \times 2^1)+(1 \times 2^0)\\& = 2+1\\& = 3\end{aligned}

Therefore, 11₂ = 3₁₀

<u>Question (b)</u>

\begin{aligned}\implies 110_2 & = (1 \times 2^2)+(1 \times 2^1)+(0 \times 2^0)\\& = 4+2+0\\& = 6\end{aligned}

Therefore, 110₂ = 6₁₀

<u>Question (c)</u>

\begin{aligned}\implies 111_2 & = (1 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =4+2+1\\& = 7\end{aligned}

Therefore, 111₂ = 7₁₀

<u>Question (f)</u>

\begin{aligned}\implies 10011_2 & =(1 \times 2^4)+(0 \times 2^3)+ (0 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =16+0+0+2+1\\& = 19\end{aligned}

Therefore, 10011₂ = 19₁₀

<u>Question (i)</u>

\phantom{)))}10110101_2 \\\\=(1 \times 2^7)+(0 \times 2^6)+(1 \times 2^5)+(1 \times 2^4)+(0 \times 2^3)+ (1 \times 2^2) +(0 \times 2^1)+(1 \times 2^0)\\\\=128+0+32+16+0+4+0+1\\\\= 181

Therefore, 10110101₂ = 181₁₀

8 0
2 years ago
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Anettt [7]

Answer:

B

Step-by-step explanation:

SOlve it

7 0
3 years ago
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