Posted by **alicia** on Wednesday, August 6, 2008 at 10:42pm.

Solve for x (without using a calculator):

log base 3 of x^2= 2log base 3 of 4-4log base 3 of 5

Solve each of the inequalities:

(a) x^2+2x-3<(or equal to)0

(b) (2x-1)/(3x-2)<(or equal to)1

Any help is appreciated!

- math (1 of 3) -
**drwls**, Thursday, August 7, 2008 at 2:40am
log base(3)x^2 = 2log(3)4 - 4log(3)5

= log(3)[4^2/5^4]

Therefore x^2 = 16/625

x = 4/25 = 0.16

- math (2 of 3) -
**drwls**, Thursday, August 7, 2008 at 8:55am
<<(a) x^2+2x-3<(or equal to)0 >>

First solve

x^2 +2x -3 =0

(x+3)(x-1) = 0

x = -3 or 1

Between those points, for example at x=0, the function is negative.

(f(0)= -3, for example.)

-3 <_ x <_ 1 is the answer

- math (#3 of 3) -
**drwls**, Thursday, August 7, 2008 at 10:22am
<<(2x-1)/(3x-2)<(or equal to)1>>

When equal to 1,

2x-1 = 3x-2

x = 1

If you go on the positive side if 1, for example at x = 2,

(2x-1)/(3x-2) = 3/5 which is <1

Any x >_ 1 satisfies the inequality

## Answer this Question

## Related Questions

- Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...
- Calculus - log (base 3) x^2 = 2log(base 3)4-4log(base 3)5 And I need to solve ...
- Algebra 2 - -Explain the difference between log base b (mn) and ( log base b of ...
- Precalc - 1. 1/3log base 8 of (x+1)=2log base 8 of 3-(2/3)log base 8 of (x+1) 2...
- Algebra - How can you find log base 3 of 242/5 using the given information ...
- LOGARITHMS - HI THE QUESTION STATES THAT ONE SHOULD CALCULATE THE LOGS WITHOUT ...
- math - solve for x without using a calculator 5^(x+1) = 25 i know that x would ...
- Logarithms - if log base 10 of 2 = .301 then what is log base of 10 of 2000? I ...
- Math - Help with these problems would be greatly appreciated: 1.Find the ...
- check! - here is the question: log5(x-4)= log7x solve for x. These are just base...

More Related Questions