We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

The denominator of a fraction is 2 more than its numerator.

When 1/2 is added to this fraction, the resulting fraction's denominator is twice the denominator of the original fraction and its numerator is 1 more than its denominator.

What is the numerator of the original fraction?

3

5

8

11

My answer='A'

What is the exact solution to the equation e^3x+5=9?

x=3/5+ln9

x=3/ln9-5

x=5+ln9/3

x=ln9-5/3

My answer='C'

Guest Jan 17, 2018

#1**+1 **

The denominator of a fraction is 2 more than its numerator.

When 1/2 is added to this fraction, the resulting fraction's denominator is twice the denominator of the original fraction and its numerator is 1 more than its denominator.

What is the numerator of the original fraction?

We have

x / [ x + 2 ] + 1/2 = [ 2 (x + 2) + 1 ] / [ 2(x + 2) ]

Simplify

[ 2x + x + 2 ] / [2 (x + 2] = [ 2x + 5 ] / [ 2(x + 2) ]

Multiply through by 2(x + 2)

2x + x + 2 = 2x + 5

3x + 2 = 2x + 5

x = 3 ⇒ "A" is correct !!!!

I think this is.....

e^(3x+5) = 9 take the Ln of both sides

Ln e^(3x + 5) = Ln 9

(3x + 5) Ln e = Ln 9 ⇒ { Ln e = 1}

3x + 5 = Ln 9 subtract 5 from both sides

3x = Ln (9) - 5 divide both sides by 3

x = [ Ln (9) - 5 ] / 3 ......the last answer is correct....if I've interpreted this correctly

CPhill Jan 17, 2018