How Do You Find the Point of Intersection for These Equations?

[darrenc]

Homework Statement

Find the point of intersection

Homework Equations

Equation 1

y=1/5(2)^4x-7

Equation 2

y=1/10(1/2)^9-3x

The Attempt at a Solution

Made them equal each other got rid of the 1/5 one one side and it made the 1/10 turn into 1/2 and now i don't know what to do so I got

(2)^4X-7 = 1/2(1/2)^9-3X

 

[Mark44]

Homework Statement

Find the point of intersection

Homework Equations

Equation 1

y=1/5(2)^4x-7

Equation 2

y=1/10(1/2)^9-3x

The Attempt at a Solution

Made them equal each other got rid of the 1/5 one one side and it made the 1/10 turn into 1/2 and now i don't know what to do so I got

(2)^4X-7 = 1/2(1/2)^9-3X

I think you need more parentheses! Is this 2^{4x - 7} = (1/2)(1/2)^{9 - 3x}?

If you don't know how to use superscripts for exponents, at least put parentheses around exponents with multiple terms.

 

[darrenc]

I think you need more parentheses! Is this 2^{4x - 7} = (1/2)(1/2)^{9 - 3x}?

If you don't know how to use superscripts for exponents, at least put parentheses around exponents with multiple terms.

happy now?

 

[Mark44]

Am I happy that you can quote what I did? Not so much that I'm doing cartwheels or anything.

Can you simplify a*a^b?

Also, 2^x = (1/2)^-x.

These hints should help you write your equation so both sides use the same base.