logarithms

Elaine

New member
Joined
Sep 10, 2005
Messages
10
log 4 0.287

change the base rule to find the logarithm to four decimal places.

Is this answer 13.9373... Thanks
 

tkhunny

Moderator
Staff member
Joined
Apr 12, 2005
Messages
9,791
You can get an idea by checking the exponential form.

If log<sub>4</sub>(0.287) = 13.9373, then 4<sup>13.9373</sup> = 0.287. I think not!

Estimate first. Then you can't make that kind of error.

4<sup>1</sup> = 4
4<sup>0</sup> = 1
4<sup>-1</sup> = ¼ = 0.25

That's it. The answer should be between 0 and -1, probably closer to -1.

The rule you are told to use suggests: log<sub>4</sub>(0.287) = log(0.287)/log(4).
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