Question

Solve for X algebraically:

3^(2X) + 3^(X+1) - 4 = 0

Answer 1

This involves logarithms because you are solving for the exponent in both of them to solve for x.

Answer 2

First we need to rewrite equation

Answer 3

\[(3^x)^2 + 3^x*3-4=0\]

Answer 4

Are you getting this ???

Answer 5

Hi, thank you for the response.
Does the +1 in the exponent become *3 ?

Answer 6

You could have solved this with logarithms.

Answer 7

yes correct
Now we need to substitute 3^x = m ( any variable ) so can you try to rewrite equation ??

Answer 8

Like a U substitution with U= 3^X ?

Answer 9

How you got 12 ? we just need to replace 3^x by U okay ??

Answer 10

U^2 + U *3 -4 =0 ???

??????

Answer 11

Perfect
Now we have to solve this quadratic equation can you try ?

Answer 12

It isn't in standard form.
I don't know what to do with the part with: *3 -4

Answer 13

you can use quadratic formula for it can you try ?

Answer 14

Hello .... ????

Answer 15

what would be C ?

Answer 16

X would be equal to 0.

Answer 17

x = –1, 3.