Which of the following is equivalent to log (base 6) 37 rounded to three decimal places?
a. 1.677
b. 0.496
c. 0.790
d. 2.015

I would use a graphing calculator but I loaned it to my friend.

Question

Which of the following is equivalent to log (base 6) 37 rounded to three decimal places?
a. 1.677
b. 0.496
c. 0.790
d. 2.015

I would use a graphing calculator but I loaned it to my friend.

campbell_st · Answer

well you can use change of base formula to evaluate it 

$$\log_{a}(b) = \frac{\ln(b)}{\ln(a)}$$

hope it helps

campbell_st · Answer

but here is a hint.... whats the value of 6^2

anonymous · Answer

36

campbell_st · Answer

so remember.... the value of a log is the power of the base.... 

so using the hint... the value is a bit more than 2....

anonymous · Answer

2.015?

campbell_st · Answer

to check... whats the value of 

6^2.015)

anonymous · Answer

I got 36.98

campbell_st · Answer

thats it... a little intuition can eliminate the need for calculations

anonymous · Answer

:O I understand! Haha thank you so much! :D