SOLUTION: I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Laws
Algebra.Com
Question 197092This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Laws of Logarithms
Simplify 4^log base 2(2^ log base 2 of 5)
This question is from textbook Algebra and Trigonometry Structure and Method book 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember, }=x)
is one identity that is useful for simplifying logarithms.
So }=5)
(in this case, and )
This means that
}\right)})
simplifies to
})
In other words, }\right)}=4^{\log_{2}\left(5\right)})
-----------------------------------------------------------------
Now let's simplify
^{\log_{2}\left(5\right)})
... Rewrite as
^{2\log_{2}\left(5\right)})
... Multiply the exponents.
^{\log_{2}\left(5^2\right)})
... Rewrite the inner log using the identity
^{\log_{2}\left(25\right)})
... Square 5 to get 25
... Use the first identity given to simplify
So }=25)
===========================================================
Answer:
This means that }\right)}=25)
RELATED QUESTIONS
I have been working on this math problem and I can't seem to figure it out. I was... (answered by Alan3354)
I have been working on this math problem and I can't seem to figure it out. I was... (answered by dabanfield)
I have been working on this math problem and I can't figure it out!! I was wondering if... (answered by Alan3354,EMStelley,Edwin McCravy)
I have been working on this math problem and I can't seem to figure it out. I was... (answered by Mathtut)
I have been working on this math problem and I can't seem to figure it out. I was... (answered by Alan3354)
I have been working on this math problem for awhile now and I can't seem to figure it... (answered by jojo14344)
I have been working on this math problem and I can't seem to figure it out. I was... (answered by jim_thompson5910)
I have been working on this math problem and i can't seem to figure it out. I was... (answered by stanbon,dabanfield)
I have been working on this math problem and I can't seem to figure it out. I was... (answered by solver91311)
I have been working on this math problem and I can't seem to figure it out. I was... (answered by jojo14344)