solve for x 12^x=28

Question

solve for x 12^x=28

imstuck · Answer

Is this$$12^{x}=28$$

anonymous · Answer

yeah but solve for x

imstuck · Answer

This is a log problem.  Are you familiar with logs?

anonymous · Answer

yeah but they are hard i get confused with logs

imstuck · Answer

Logs are pretty tedious...I agree.  The conversion is this$$x=a ^{y}-->y=\log _{a}(x)$$Does that help you?  Look at the way the original is set up and how the variables translate to the log function.

muzzack · Answer

Solution Steps

1. Simplify Exponents
12=28

There is no solution to this problem.

imstuck · Answer

What do you get?

anonymous · Answer

i got 1.340977742749

imstuck · Answer

Muzzack, you are incorrect.  This is a log function.

anonymous · Answer

im not sure if its right

imstuck · Answer

This is how to convert between log bases.  To get to a base of 10, which is what your calculator is set to find, you do this:

imstuck · Answer

$$\log _{b}M=\frac{ \log _{a}M }{ \log _{a}b }$$In your case it would be

imstuck · Answer

$$\log _{12}(28)=\frac{ \log _{10}(28) }{ \log _{10}(12) }$$

imstuck · Answer

This you can do on your calculator.  Do you know how?  You now have your logs with bases of 10.

anonymous · Answer

i think so ill try it out

imstuck · Answer

Please...and then let me know what you get.  AND write that conversion down...you may need it again!

anonymous · Answer

ok

anonymous · Answer

yeah i was right its approx 1.340977742749 how can i make it shorter is it 1.3409?

imstuck · Answer

That's good!  Good job!

anonymous · Answer

thank you