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noname [10]
3 years ago
11

Which logarithmic equation is equivalent to 8^2=64

Mathematics
2 answers:
NISA [10]3 years ago
7 0

Answer:

2=log_{8}64

Step-by-step explanation:

We are given a equation:

   8²=64

We have to convert this into a logarithmic equation:

 Taking log base 8 on both sides, we get

    log_{8}8^{2}=log_{8}64

   2log_{8}8=log_{8}64   (since, log_{a}m^n=nlog_{a}m)

    2=log_{8}64  (since,log_{a}a=1 )

Hence, option first is true

adell [148]3 years ago
5 0

Answer:

The answer will be the first one...


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The final balance is $12,088.87.

The total compound interest is $2,088.87.

4 0
2 years ago
X + 18 greater than or equals 26
cricket20 [7]

Answer:

x + 18 ≥ 26

Step-by-step explanation:

"greater than or equals": ≥

x + 18 ≥ 26 is your answer.

If you are trying to solve it so you isolate x, subtract 18 from both sides:

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3 years ago
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Find an equation for the perpendicular bisector of the line segment whose endpoints
TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

\boxed{gradient =  \frac{y1 -y 2}{x1 - x2} }

Gradient of given line

=  \frac{1 - ( - 5)}{3 - ( - 9)}

=  \frac{1 + 5}{3 + 9}

=  \frac{6}{12}

=   \frac{1}{2}

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2})  }

Midpoint of given line

= ( \frac{3  -  9}{2} , \frac{1 - 5}{2} )

= ( \frac{ - 6}{2}  , \frac{ - 4}{2} )

= ( - 3 , - 2)

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 <em>(</em><em>-</em><em>6</em><em> </em><em>on both</em><em> </em><em>sides</em><em>)</em>

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

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3 years ago
Carpenter A charges $50 an hour. Carpenter B charges $20 to visit your home plus $45 for each hour. For how many hours will the
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Answer:

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50x = 20 + 45x \\ 5x = 20 \\ x = 4hours \\

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What is the approximate area of a circle with a radius of 11 m?
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380.13

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