## hba 3 years ago Value of x in log5x = 4logx5 is

1. hba

@hartnn

2. hartnn

draw the question

3. hba

Ok

4. hba

Ok$\log_{5}x=4\log_{x}5$

5. hartnn

use : $$\huge\log_ab= \frac{log b}{loga}$$

6. hba

logx/log5=4log5/logx whats next ??

7. hartnn

try to bring log x on one side and other terms on other side of = sign

8. hba

(logx)(logx)=4(log5)(log5)

9. hba

What do i do next ?? @hartnn

10. hartnn

yup, take square root on both sides after writing log x . logx as (log x)^2

11. hba

logx=2log5

12. hartnn

now use $$nlog x =log x^n$$

13. hba

logx=log5^2

14. hartnn

what is 5^2 ?

15. hba

25

16. hba

logx=log25

17. hba

so x=25

18. hartnn

yes..

19. akash_809

5 ^4

20. hba

but i think i will get 2 answers

21. akash_809

$\log_{x}5^a = a \log_{x}5$

22. hartnn

how 2 ?

23. akash_809

use this so u will get x = 5^4 =625 , do u get it @hba

24. hba

25 and 1/25

25. hba

26. hba

Options given .A) 25, 1/25 B) 1, -1 C) 0, 1 D) 2, 3 E) 4, 5

27. hartnn

when u take square root, u also get -*minus* so u also get 1/25

28. hba

Ok Boss Thanks :)

29. hartnn

welcomes :)