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ExtremeBDS [4]
3 years ago
5

How do you solve logarithmic equations such as log(2x)= -1 or 3log(2)+log(x)= 3?

Mathematics
1 answer:
Aliun [14]3 years ago
3 0
Remember some simle log rules
loga+logb=log(ab)
xloga=loga^x
log_ax=y means a^y=x
also, if no base is stated, assume base 10

so

log(2x)=-1 is base 10 and translates to
10^-1=2x
1/10=2x
divide both sides by 2 aka times 1/2
1/20=x



3log(2)+log(x)=3
log(2^3)+log(x)=3
log(8)+log(x)=3
log(8x)=3
base 10
10^3=8x
1000=8x
divide both sides by 8
x=125
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Quick algebra 1 question for 50 points!
Otrada [13]

The number of songs that Deante' would have downloaded during month 9 is 58 songs.

<h3>What is a regression line?</h3>

A regression line is a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.

By using Microsoft excel to plot the data on a scatter plot, we can logically deduce that line of best fit for the songs downloaded is given by:

y = 2.03x + 39.7

Thus, the number of songs that Deante' would have downloaded during month 9 is:

y = 2.03(9) + 39.7

y = 18.27 + 39.7

y = 57.97 ≈ 58 songs.

Read more on regression here: brainly.com/question/26059078

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2 years ago
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The area of a rectangle in 24 square units. A diagonal drawn from one corner to another divides the rectangle into two right tri
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Hello from MrBillDoesMath!

Answer:

12


Discussion:

The two triangles shown are congruent by the SAS postulate so the area of a single triangle is one-half that of the rectangle.  That is,

Area = (1/2) * 24 = 12


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4 years ago
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3 years ago
Square root of 75 plus square root of 3
olya-2409 [2.1K]
Answer:
6√3

Explanation:
Before we begin, remember the following:
\sqrt{a*b} = \sqrt{a}  *  \sqrt{b}
m \sqrt{a} + n \sqrt{a}  = (m+n) \sqrt{a}

Now, for the given:
75 can be written as 25*3
This means that:
\sqrt{75} = \sqrt{25*3}
Applying the above concept, we can find that:
\sqrt{75} = \sqrt{25*3} = \sqrt{25}  *  \sqrt{3}
Now, we know that:
√25 = 5 (we ignored the negative value)

This means that:
√75 = 5√3

Finally, we can compute the needed sum as follows:
√75 + √3 = 5√3 + √3 = 6√3

Hope this helps :)

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3 years ago
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Can someone explain how to do #3?
dsp73

\displaysyle (\sqrt 2)^{3}=(2^{\frac{1}{2}})^3=2^{\frac{1}{2} \cdot 3}=2^{\frac{3}{2}}=\sqrt {2^3}=\sqrt 8

√8 is between 2 and 3, because 2²=4<8, but 3²=9>8. Also, our value is closer to 3 than to 2, so it is more than 2.5 and we have C and D options left.

Among these two numbers we find the one which is closer to √8.

C. 27=√729 ⇒ 2.7=√7.29

D. 28=√784 ⇒ <u>2.8=√7.84</u>

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4 years ago
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