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Advanced Math/Logarithmic Eqs


Equations A&B
Equations A&B  

Equation C
Equation C  
Dear Mr. Wilson I'm a bit stuck in solving these equations. Could you please help me? Thank you so much

It should be noted that log(a^x) = x*log(a) and that log(c) + log(d) = log(cd).
These two can be combined to note that log(e) - log(f) = log(e/f).

Note that 4 is the log(10,000).

Using the preceeding comments, we can rewrite equation 1 as
logA = logx + log√B - logC - log(10,000).
We can then say that logx = logA - log√B + logC + log(10,000).
Since we have all terms as a log, we can rewrite it as logx = log(10,000*A*C/B).
It is then known that x = 10,000*A*C/B.

The 2nd equation can be rewritten as loga(√x^6) - loga(x^2) = loga(3/x^2).
Since √x^6 = x^3, we have loga(x) - loga(x) = loga(3/x).

Since we have the difference of logs, this can be transformed to loga(x/x) = loga(3/x).
Since x/x = x, this is the same as loga(x) = loga(3/x).

We can drop that loga on both sides, giving x = 3/x.
Multiplying both sides by x gives x = 3.
Taking the cuberoot of both sides gives x = 3^(1/3).

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Scott A Wilson


I can answer any question in general math, arithetic, discret math, algebra, box problems, geometry, filling a tank with water, trigonometry, pre-calculus, linear algebra, complex mathematics, probability, statistics, and most of anything else that relates to math. I can also say that I broke 5 minutes for a mile, which is over 12 mph, but is that relevant?


Experience in the area; I have tutored people in the above areas of mathematics for over two years in I have tutored people here and there in mathematics since before I received a BS degree back in 1984. In just two more years, I received an MS degree as well, but more on that later. I tutored at OSU in the math center for all six years I was there. Most students offering assistance were juniors, seniors, or graduate students. I was allowed to tutor as a freshman. I tutored at Mathnasium for well over a year. I worked at The Boeing Company for over 5 years. I received an MS degreee in Mathematics from Oregon State Univeristy. The classes I took were over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors in both my BS and MS degrees. Past/Present Clients: College Students at Oregon State University, various math people since college, over 7,500 people on the PC from the US and rest the world.

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Master of Science at OSU with high honors in mathematics. Bachelor of Science at OSU with high honors in mathematical sciences. This degree involved mathematics, statistics, and computer science. I also took sophmore level physics and chemistry while I was attending college. On the side I took raquetball, but that's still not relevant.

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I earned high honors in both my BS degree and MS degree from Oregon State. I was in near the top in most of my classes. In several classes in mathematics, I was first. In a class of over 100 students, I was always one of the first ones to complete the test. I graduated with well over 50 credits in upper division mathematics.

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