Math, asked by StudyLearn786, 2 months ago

find the value of (23.60)½×(8.719)³÷(√693) find it with the help of logarithm plz help me fast...​

Answers

Answered by niteshshinde587
0

Step-by-step explanation:

273×272+27=2626

432×272=321 its answer

Answered by hukam0685
3

Step-by-step explanation:

Given:

 {(23.60)}^{  \frac{1}{2} }  \times  {(8.719)}^{3}  \div  \sqrt{693}  \\

To find: Find the value using logarithm.

Solution:

Let

x = {(23.60)}^{  \frac{1}{2} }  \times  {(8.719)}^{3}  \div  \sqrt{693} \\

take log both sides

 log(x)  = log({(23.60)}^{  \frac{1}{2} }  \times {(8.719)}^{3}  \div  \sqrt{693})  \\

apply log properties

 log(x)  =  \frac{1}{2}  log(23.60)  + 3 log(8.719)  -  \frac{1}{2}  log(693)  \\

write the value of log using log tables.

 log(x)  =  \frac{1}{2}(1.373)+ 3 (0.940)  -  \frac{1}{2} (2.840)  \\

 log(x)  = 0.6865+ 2.82-1.42\\

 log(x)  =2.0865 \\

Take antilog to find x.

x=10^{2.0865}\\\\x=122.039\\

Final answer:

 \bold{\pink{{(23.60)}^{  \frac{1}{2} }  \times  {(8.719)}^{3}  \div  \sqrt{693} =122.039}}\\

Hope it helps you.

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