- #1
Senjai
- 104
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Homework Statement
[tex]10^{log_{100}4}[/tex] Evaluate.
I'm on a school computer, i cannot see TEX images. Sorry if their not 100% correct.
The Attempt at a Solution
I solved this answer, and got 2. i did this by making the above equation:
[tex]100^\frac{1}{2}(log_{100}4)[/tex]
then using a log law to get 4 to the power of 1/2 and solved for 2 using the "double base rule"
I was told their was a way to do the same thing, but for the exponent and not the base.
how do you solve: [tex] 10^{log_{10^2}4} [/tex] somehow it still gives a power of 1/2 to the value 4 but i don't understand how to put it there.
i tried putting it in exponential form:
[tex] 10^{2x} = 4 [/tex]
and i guess ed by dividing both exponents by 2 to get:
[tex] 10^x = 4^{\frac{1}{2}} [/tex]
but 10 and 4 arent the same base. Is this correct?
Thanks,
Senjai