Help with solving logarhythm problems

[wasteofo2]

How would I go about solving a problem like this?

Given $$log_c 3 = 1.875$$ and $$log_c 2 = 1.214$$ evaluate $$log_c {\sqrt{12}$$

What method would I have to use to solve a question like this?

 

[dextercioby]

How about
$$\log_{c}\sqrt{12}=\log_{c}(12)^{\frac{1}{2}}=\frac{1}{2}\log_{c}12$$

Take it from here.
Use the data & the properties of the "log" function.

Daniel.

 

[learningphysics]

courtigrad, following the previous advice dextericoby previously gave me... Your post was great, and your approach to the problem was fine. Don't delete your great posts!

 

[courtrigrad]

$$log_c 2 \sqrt 3 = log_c 2 + log_c \sqrt 3$$

you know what $$log_c 2$$ is

Thanks a lot for your kind words

NOTE: should be $$\sqrt 3$$ not $$\sqrt 2$$ for second part of addition. For some reason it will not let me change it.

 

[NeutronStar]

Help with solving logarhythm problems

Start by setting it equal to itself:
$logarhythm = logarhythm$

Take the antilog of both sides:
$arhythm = arhythm$

Replace [itex]hy = i[/tex]:<br /> $arithm = arithm$<br /> <br /> Take the log of both sides again and you're done: <br /> $logarithm = logarithm$ <br /> <br /> <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f61b.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":-p" title="Stick Out Tongue :-p" data-smilie="7"data-shortname=":-p" /> <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f631.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":eek:" title="Eek! :eek:" data-smilie="9"data-shortname=":eek:" /> <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f600.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":biggrin:" title="Big Grin :biggrin:" data-smilie="8"data-shortname=":biggrin:" /> <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f644.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":rolleyes:" title="Roll Eyes :rolleyes:" data-smilie="11"data-shortname=":rolleyes:" /> <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f644.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":rolleyes:" title="Roll Eyes :rolleyes:" data-smilie="11"data-shortname=":rolleyes:" />[/itex]