SOLUTION: I'm doing homework and I wasn't able to get to class because I was out of town. I have the worksheet, it tells me to Use the CHANGE OF BASE formula to evaluate the following. L

Algebra.Com
Question 597170: I'm doing homework and I wasn't able to get to class because I was out of town. I have the worksheet, it tells me to Use the CHANGE OF BASE formula to evaluate the following.
Log2 (10)=x
Log12 (1243)=x
Most of the problems are like this. I looked at examples online, but none of the examples are set up like this.
What I have been doing is just setting the problem up differently for example Log2 (10)=x would be 10=2^x and I'm really really confused. I need help. Please someone respond.
Thanks
Found 2 solutions by stanbon, AnlytcPhil:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Log2 (10)=x
Log12 (1243)=x
----
Change of base Formula: log(Base A)B = [log(base C)B] / [log(base C)A]
Note: The "C" can be any positive number.
---
Your Problems:
x = log(10)/log(2) = 1/0.3010 = 2.3219
---------------
x = log(1243)/log(2) = 10.2796
==================================
Cheers,
Stan H.
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
The change of base formula is:

 = 

or

 = 
 
Therefore

= x =  = = .3010299957   

or you can use:

 = x =  = = .3010299957 = .3010299957  

------------------------
Log12 (1243)=x

 = x =  = = 2.867424856   

or you can use:

 = x =  = = 2.867424856

-------------------

Notice that you may use either "log" (which is base 10) or "ln" (which is
base "e").  Both are on your calculator.  The numbers you divide will be
different but when you divide them you will always get the same answer either way.

Edwin
RELATED QUESTIONS

Hi, I posted a link to my question because it wasn’t letting me copy and paste.... (answered by wilft1,MathTherapy)
What would be the solution for x in the rational equation: x^2/(x-3) = (x+2)/(2x-5) (answered by josgarithmetic)
Hi I have two homework problems that I cannot seem to quite get. In class and with my... (answered by jim_thompson5910)
One side of triangle has an equation of 2x - 5 next side has 3x + 20 and the last side... (answered by josgarithmetic,Alan3354)
i am having trouble with my algebra homework and trying to work out if it is right.Here's (answered by stanbon,Edwin McCravy)
I asked a friend of mine who is proficient in math to help me with this well needless to... (answered by richwmiller,dabanfield)
my name is Zach and I am in 7th grade pre Algebra it is my 2nd day of class and I am... (answered by solver91311)
I wasn't sure what to list this under because it's not algebra, it's just confusing! I... (answered by CubeyThePenguin)
I wasn’t sure if you would be able to help me with this because you cant see the... (answered by scott8148)