Indices Equation

Algebraneophyte

New member
Joined
Apr 27, 2021
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12
Hi.

How would you find the two solutions to the following? It looks somewhat like a quadratic. I believe you can generate a dummy variable such as (3^x)= Y and (3^2x) = Y^2

1621009594898.png

Thank you for your time.
 

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Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
24,691
Hi.

How would you find the two solutions to the following? It looks somewhat like a quadratic. I believe you can generate a dummy variable such as (3^x)= Y and (3^2x) = Y^2

View attachment 27189

Thank you for your time.
If I were to solve this problem:

I would substitute → u = 3x..............then

1621011870196.png → u2 - 10*u + 9 = 0 ← This is a quadratic equation.

Solution of the equation is u = 1 or 9 → x = ??
 
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