anonymous one year ago Helppp Pleeaassee!!! Estimate the value of the logarithm to the nearest tenth log9 61 a. 6.3 b. 0.5 c. -1.9 d. 1.9

1. Nnesha

$\huge\rm log_a b = \frac{ \log b }{ \log a }$ change of base formula apply that

2. anonymous

ok.. how?

3. Nnesha

like this $\huge\rm log_a b = \frac{ \log b }{ \log a }$ |dw:1432867315093:dw|

4. anonymous

umm this just looks like the same thing on all 3 sides? im not understanding :/

5. Nnesha

on all 3 sides ? what do you mean what is b in ur question and what is a(base)

6. anonymous

um idk what any of that is? all i was given was log9 61?

7. anonymous

how do i know what the base is?

8. Nnesha

that's very good question ......

9. Nnesha

|dw:1432867635536:dw| $\log_2 =$ ^ base 2

10. Nnesha

$\huge\rm log_8 = base~8$

11. Nnesha

so what's the base of $\huge\rm log_9 61$?

12. anonymous

ugh im sorry i'll just close this question because none of this is making sense to me

13. Nnesha

if you don't know what the base of given log you can't understand other log question good luck!

14. Nnesha

in other words that's the first step of this unit :-)

15. Nnesha

|dw:1432868106697:dw| example i hope it make sense