Because depending on the decimal it can be converted into a fraction. for example,
0.5=1/2
Given:
The logarithmic expression is:
![\log_718](https://tex.z-dn.net/?f=%5Clog_718)
To find:
The equivalent expression of given expression by using change-of-base formula.
Solution:
The change-of-base formula is:
![\log_ba=\dfrac{\log_ca}{\log_cb}](https://tex.z-dn.net/?f=%5Clog_ba%3D%5Cdfrac%7B%5Clog_ca%7D%7B%5Clog_cb%7D)
The given expression is:
![\log_718](https://tex.z-dn.net/?f=%5Clog_718)
Using the change-of-base formula, we get
![\log_718=\dfrac{\log_c18}{\log_c7}](https://tex.z-dn.net/?f=%5Clog_718%3D%5Cdfrac%7B%5Clog_c18%7D%7B%5Clog_c7%7D)
Where, is a constant and c>0.
Let
, then
![\log_718=\dfrac{\log_{10}18}{\log_{10}7}](https://tex.z-dn.net/?f=%5Clog_718%3D%5Cdfrac%7B%5Clog_%7B10%7D18%7D%7B%5Clog_%7B10%7D7%7D)
Therefore, the correct option is a.
The solution to this similar triangles is; XY = 11.25
<h3>What is the ratio of the similar triangles?</h3>
In triangle ABC, we see that;
AB = 5, BC = 12, CA = 8.
In triangle XYZ;
XY = N, YZ = 27 ZX = 18
To find:
The length of XY
If two triangles are similar, then their corresponding sides are proportional.
Since ΔABC is similar to ΔXYZ, then we say that;
AB/XY = BC/YZ = CA/ZX
5/N = 12/27 = 8/18
Cross multiply to get;
8N = 18 * 5
N = 90/8
N = 11.25
Thus, the solution is XY = 11.25
Read more about Ratio of Similar Triangles at; brainly.com/question/18473666
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Answer:
16.33 to the nearest hundredth.
Step-by-step explanation:
You can use a calculator or do it manually:
6( 98.000{16.333 <---- quotient.
6
38
36
20
18
20
18
20
18
Answer:
A) -192
B) the difference is 77 ft
Step-by-step explanation: