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irinina [24]
3 years ago
5

Which exponential equation correctly rewrites this logarithmic equation? log6 18=x

Mathematics
1 answer:
Zanzabum3 years ago
3 0

Given:

The logarithmic equation is:

\log_618=x

To find:

The exponential equation of this logarithmic equation.

Solution:

According to the properties of logarithm:

\log_bm=x\Leftrightarrow m=b^x

We have,

\log_618=x

Here, b=6, m=18. Using the above property of logarithm, we get

18=6^x

Therefore, the required exponential equation is 18=6^x.

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Work out the percentage change when a price of £10 is increased to £12.
Anastaziya [24]

Answer:

20%

Step-by-step explanation:

Use the percent change formula: difference = % * original cost

12 - 10 = 2

The difference is 2 and the original cost is 10. Now, we have the equation

2 = % * 10. We don’t know the percentage right? So now we have to find the percentage. To do this, you will have to do 2 divided by 10, which is 0.20. Lastly, we have to turn 0.20 into a percentage by multiplying it by 100, leaving you with 20%. So therefore, 20% is the percent increase. Hope this helps!

3 0
2 years ago
Please write an equation
Katen [24]

Answer:

y = \frac{3}{4} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = \frac{5-2}{4-0} = \frac{3}{4}

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = \frac{3}{4} x + 2 ← equation of line

4 0
3 years ago
Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is
Novay_Z [31]

Answer:

3.2 units

Step-by-step explanation:

Use the law of sines

z/sin 76 = 2.6/sin 51

z = 2.6 sin 76/sin 51 = 3.2

4 0
3 years ago
Seven times the sum of a number and 4 equals 8.
Ksju [112]

Answer:

7*(n+4) =8

Step-by-step explanation:

seven times the sum

7*(

of an number and 4

7*( n+4)

equal 8

7*(n+4) =8

6 0
3 years ago
Read 2 more answers
Describe the pattern in the sequence. Find the next two terms of the difference -2, -5,-8, -11
PSYCHO15rus [73]

Hello from MrBillDoesMath!

Answer:

"-3" is added to a sequence member to get the next number. This next two terms are -14 and  -17


Discussion:

Note that -2 -3 = -5 and

                -5 -3 = -8 and

                -8 - 3 = -11


"-3" is added to a sequence member to get the next number. This implies that the next two terms are -11 -3 = -14 and -14 -3 = -17

Regards,  

MrB


5 0
3 years ago
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