# Math

posted by .

Use your knowledge of exponents to solve.

a) 1/2^x=1/(x+2)

b) 1/2^x>1/x^2

So I know that these functions are rational functions.. and I am trying to solve for x. I tried to solve them by I keep getting stuck with the exponent 2 which is the exponential function.. Help please

• Math -

a) the first one is solved by inspection, x=0 is the only solution.
b) the second is solved by inspection, if x=2 the sides are equal, so then try on each side. If x=1 or x=3, is it true?

at x=1
1/2?>1 False, so x cannot be <2
at x=3
1/8?>1/9 True, so x>2

## Similar Questions

1. ### Calculus

We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic …
2. ### Functions

What's the best way to solve functions? I can do basic ones, but have trouble with the harder ones. I'm having trouble with the following: Inputs x 1, 2, 3, ?
3. ### advance functions gr 12

Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)
4. ### Math advance functions gr 12

Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)
5. ### advance functions gr 12

Using rational functions solve 3(numerator) 2x-4 (denominator) < (with a "-" underneath) 4 (numerator) x-2(demominator)
6. ### advance functions gr 12

Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)