i fully read your post, as long as it was lol.

i'll explain the ones that i understand.

do you have a graphing calculator? that could help a lot on the graphing part.

You can move the number in front of a log as an exponent.Use the properties of logarithms to rewrite each logarithmic expression.

One problem is:

So: becomes

Now you have:

Since the bases (twos) are the same, you can simplify that as:

When you subtract logs, if they have the same base, you may divide what you're taking the log of.Use the properties of logarithms to evaluate each expression.

One problem is

So:

This is a property:

So your answer is 0.

I'll pick the first.Solve Each Expression.

(3/4)^x=81

or

log 4x = 3

You have:

Change the form to logarithmic:

Use the Change of Base Formula:

So use a calc and evaluate:

You have a table with values, right?Use the Change of Base Formula to rewrite each expresson using common logarithms.

log_{3}16

First use change of base formula above:

You can make that

Plug the values of log 4 and log 3 into the equation and simplify.

Use the property:Use the properties of logarithms to simplify each equation and solve it. Round to thousandths.

In 2 + In x = 1

Thus:

Raising both side to the power of gets rid of the .

So:

When rounding you should get: