solve the eqn:
1/log(base 4) (x+1)/(x+2) < 1/log(base 4) (x+3)
regret me
the topic is LOGARITHMS
Hello, grgrsanjay!
I have a very long solution . . . and it may be incomplete.
Someone check it carefully . . . please!
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 is always above the -axis.
The inequality is true for all in the domain: .