Solve Log Problems Online

Solve Log Problems Online-54
: A set of questions, with their answers, on identifying the graphs of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented.

: A set of questions, with their answers, on identifying the graphs of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented.

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An example would be: , is a valid solution, and often this will be all that I'm supposed to give for the answer.

However, in this case (maybe leading up to graphing or word problems) they want me to provide a decimal approximation.

So you could say 10 to this power, and then 10 to this power over here.

If I raise 10 to the power that I need to raise 10 to to get to 3x, well, I'm just going to get 3x.

The next level of this type of log equation may require a calculator to solve.

You'll still find the solution using algebra, but they'll be wanting a decimal approximation for non-"nice" values, which will require "technology".

By the way, when finding approximations with your calculator, don't round as you go along.

Instead, do all the solving and simplification algebraically; then, at the end, do the decimal approximation as one (possibly long) set of commands in the calculator. That's not to say that you can't check your answers for log equation — you most certainly can, and probably should — but you'll need to keep this round-off-error difficulty in mind when checking your solutions.

We also know that if we have a logarithm-- let me write it this way, actually-- if I have b times the log base a of c, this is equal to log base a of c to the bth power.

And we also know, and this is derived really straight from both of these, is that if I have log base a of b minus log base a of c, that this is equal to the log base a of b over c.


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