/sci/ - Science & Math » Thread #10940946

9KiB, 347x110, Screenshot (1).png

View Same Google iqdb SauceNAO

Anonymous Tue 03 Sep 20:00:19 2019 No.10940946 View Reply Original Report

Quoted By: >>10940967 >>10940972

Anonymous

Anonymous Tue 03 Sep 2019 20:10:36 No.10940967 Report

Quoted By: >>10940978

>>10940946
$\int_{1}^{4} \frac{4^{\log_5 (x)}}{x}dx = \frac{\log(5)}{\log(4)} ( 4^{\frac{\log 4}{\log 5}} -1 )$

Anonymous

Anonymous Tue 03 Sep 2019 20:12:42 No.10940972 Report

Quoted By: >>10940978 >>10940999

>>10940946
Use this property of the log functions:
$\log_c (x) = \frac{\log x}{\log c}$

Where, log(x) is the natural log.

Anonymous

Anonymous Tue 03 Sep 2019 20:14:21 No.10940978 Report

Quoted By: >>10941002

>>10940967
>>10940972

awesome friends thanks

i'm trying to find the answer by using substitution where u=log(x)/log(5)

is that the correct path?

Anonymous

Anonymous Tue 03 Sep 2019 20:20:49 No.10940999 Report

Quoted By:

>>10940972
i mean u=ln(x)/ln(5)

Anonymous

Anonymous Tue 03 Sep 2019 20:21:23 No.10941002 Report

Quoted By: >>10941006 >>10941022

>>10940978
$4^{\log_5 (x)} = e^{\frac{\log 4}{\log 5} \log(x)}$
Then it would be easier to call call
$\frac{\log 4}{\log 5} = A$

...just to make the substitution easier.

Anonymous

Anonymous Tue 03 Sep 2019 20:23:05 No.10941006 Report

Quoted By:

>>10941002
but that's just my opinion. You can do it your way too.

Anonymous

Anonymous Tue 03 Sep 2019 20:28:27 No.10941022 Report

Quoted By:

>>10941002
ooohh i get it that's a lot of help thank you so much

Capcode	All Only User Posts Only Moderator Posts Only Admin Posts Only Developer Posts
Show Posts	All Only With Images Only Without Images
Deleted Posts	All Only Deleted Posts Only Non-Deleted Posts
Ghost Posts	All Only Ghost Posts Only Non-Ghost Posts
Post Type	All Only Sticky Threads Only Opening Posts Only Reply Posts
Results	All Grouped By Threads
Order	Latest Posts First Oldest Posts First

Your latest searches