TyErd's questions

[TyErd]

In logarithms where for example the question is , you would take the 3 onto the other side instead of making it . Do we have to divide or can we still get the answer by cubing the

[the.watchman]

Yes, the simplest way to solve this is to divide both sides by three, before converting to exponential format

[TyErd]

if you want can you still get the answer by cubing it?

[m@tty]

if you want can you still get the answer by cubing it?

Yep.

[TyErd]

ok thnx

[TyErd]

Um. What happens to the sign of the inequality if the question asked to solve for x in the equation

[m@tty]

With inequalities it is safer to always sketch. If you don't you can miss cases, or just get it plain wrong.

So when you sketch the parabola and the line y=2, you see that the parabola is greater for values of x less than the lower intercept, and x greater than the greater intercept. Then figure out the intercepts ().

So,


But square rooting does not change the inequality.

So you could say:

.

[TyErd]

thnx so much for that, really good explanation. Also can the base of an exponential be a negative number. Example   , can 'a' take a negative value?

[brightsky]

Of course.

Example:

[TyErd]

In, ,  can 'a' take a value of 0 or less? My teacher said it cannot but I wasn't convinced. Im pretty sure it cannot be zero but what about negative values?

[brightsky]

It can.

And I was told that as well, or a lot of maths concepts would be flawed otherwise.

Have a read of this: http://mathforum.org/dr.math/faq/faq.0.to.0.power.html

[TyErd]

thats very interesting I never knew that 'a' could be zero. It's logical to assume it cant but damn thats pretty interesting.

[TyErd]

but 'a' can defintely take negative values right?

[m@tty]

Yep. Think about the statement "" it is the same as saying Now what values can 'a' take where this holds true? All real numbers. So yes, it most definitely can be negative.

[TyErd]

sweet thnx!