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Shtirlitz [24]
3 years ago
15

Log3+logx=5/2find x​

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Answer:

x = 105.4

Step-by-step explanation:

We are given;

Log 3 + log x = 5/2

We are required to find x;

We are going to use the laws of logarithms to solve for x

That is;

log a + lob b = log(ab)

Therefore;

Log 3 + log x = 5/2

we get;

log 3x = 2.5

But;

Given, logₐb= x , then b = a^x

In this case;

log 3x = 2.5

we get , 3x = 10^2.5

That is , 3 x = 316.227

                x = 105.4

Thus, the value of x is 105.4

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The ratio of the areas is 340/1158 = 170/579thus the ratio of the side lengths is sqrt(170)/sqrt(579)  = .5418the ratio of volumes is the side length ratio cubed = .5418^3 = .159Volume of smaller solid  = (.159)(1712) = 272.37
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3 years ago
What is the scale factor? Multiple choice
kap26 [50]

Answer:

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  • post/pre

Step-by-step explanation:

In general, a scale factor is applied to an original (pre) to obtain an image (post). It is the ratio post/pre that expresses the relationship between image dimensions and original dimensions.

Here, that post/pre ratio is 3/4 = 0.75.

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8 0
3 years ago
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serious [3.7K]

Answer:

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Step-by-step explanation:

There seems to only be 1 line so they must have the same solutions.

4 0
3 years ago
The bike store marks up the wholesale cost of all of the bikes they sell by 30%. Andre wants to buy a bike that has a price tag
garik1379 [7]

Answer: The wholesale cost of this bike is $96.15.

Andre will pay after discount is $100.

Step-by-step explanation:

Since we have given that

Price tag of a bike that Andre wants to buy = $125

The bike store marks up the whole sale price of all the bikes by 30%

So, the wholesale cost of this bike <em>('</em><em>x'say</em><em>)</em> will be given as

\frac{100+30}{100}\times x=\$125\\\\\frac{130}{100}\times x=\$125\\\\x=\frac{100}{130}\times 125\\\\x=\$96.15

So, the wholesale cost of this bike is $96.15.

if the bike is discounted by 20%,

then Andre will pay is given by

\frac{100-20}{100}\times 125\\\\=\frac{80}{100}\times 125\\\\=\frac{10000}{100}\\\\=\$100

So, Andre will pay after discount is $100.

3 0
4 years ago
Read 2 more answers
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