solve the eqn:

1/log(base 4) (x+1)/(x+2) < 1/log(base 4) (x+3)

regret me

the topic is LOGARITHMS

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- Aug 5th 2010, 08:07 AMgrgrsanjaytrignometry
solve the eqn:

1/log(base 4) (x+1)/(x+2) < 1/log(base 4) (x+3)

regret me

the topic is LOGARITHMS - Aug 5th 2010, 09:42 AMSoroban
Hello, grgrsanjay!

I have a very long solution . . . and it may be incomplete.

Someone check it carefully . . .*please!*

Quote:

We begin with: .

Add

Domain:

Divide [2] by.*positive*

Take logs, base 4: .

That is: . .is.*negative*

Multiply [1] by.*negative*

Since , then

Multiply [3] by.*positive*

Take anti-logs: .

This is an up-opening parabola with its vertex at (-2, 1).

. . Hence, it isabove the -axis.*always*

The inequality is true for all in the domain: .