Maths Problem

francomanco2309

Solve 2^x*4^x+1=8

This problem has been bugging me a lot could someone help?

Reply 1

foreverrocking2

Convert everything in terms of power of 2

(edited 7 months ago)

Reply 2

Can'tDecideAName

Hmmm, I'll assume you haven't solved it yet but you have 2^x * 4^x + 1 = 8

so 4^x is 2^{2x} by indices rules. Let 2^x = y so you now have y * y^2 + 1 = 8

y^3 = 7 so y = 7^{1/3} and some other complex roots I assume are not valuable.

2^x = 7^{1/3}
x = (ln7)/(3ln2)

If the asterisk was supposed to be a + the same method stands but you just get a quadratic instead which is a more common question