Question 836720: ^2 + -3 = 0
What is x?
Basically, this question is log base 3 of x quantity squared plus log bas 3 of x squared minus three equals zero. I am not exactly sure how to get rid of "squared" part of log base 3 of x quantity squared.
Also,
=4
Log base 10 of x to the log of x power equals four. I'm not sure how to get rid of the "power to the log of x." I know I am supposed to bring it down and multiply the whole left side of the equal sign by it but I don't know how to multiply logs.
Also,
T= T subscript 0 + ( T sub 1 - T sub 0 ) 10^-kt
Solve for t. (lowercase)
If you can imagine this, technically there are multiple T's, so all the "subs" are different T's. It's hard to explain... Sorry. But, I'm not sure how to go about this problem.
And lastly,
= .25 + d
Solve for P.
I'm not sure how to do this one either.
Sorry for taking your time, but this is urgent. I believe I have a test tomorrow, so if you could get this to me as soon as possible. If not, oh well. Thanks~
Answer by josgarithmetic(39615) (Show Source):
You can put this solution on YOUR website! Your first equation and description do not match, so not sure what you really are given or want.
The next two are clearer, and help for them is next.
=4
-
Show it this way: , which looks like this, inside the braces tags: log(10,x^log(10,x))=4
Since log((x)) is an exponent on x, we have a law of logarithms for this.
We obviously can take square root of both sides.

Not even need calculator nor log tables. Written in exponential form,
= .25 + d
Solve for P.
-
Express that equation cleanly using the system, this way:

Not too much you can do with this. No given values or other relations for a, y, d. All remaining to solve for P is put into exponential form.

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