SOLUTION: Use logs ( any base) to find the unknown: 3 to the power of x^2 minus 2x = 3 to the power of x-2 ( there are two answers please find both)

Question 133316: Use logs ( any base) to find the unknown:
3 to the power of x^2 minus 2x = 3 to the power of x-2 ( there are two answers please find both)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3 to the power of x^2 minus 2x = 3 to the power of x-2
-----------------
3^(x^2-2x) = 3^(x-2)
----------------------
Take the log(base3) of both sides to get:
x^2-2x = x-2
x^2-3x+2 = 0
(x-2)(x-1) = 0
x = 2 or x=1
==================
Cheers,
Stan H.
RELATED QUESTIONS
Use logs (any base) to find the unknown: 2 to the power of 2x^2-3x = 2 to the power of... (answered by scott8148)

Use logs (any base) to find the unknown: 2 to the power of 2x^2-3x = 2 to the power of (answered by jim_thompson5910)

Given h(x)=2x to the power of 3 minus 5x to the power of 2 minus 4x plus 3. Find the... (answered by MathLover1)

Evaluate for x = -1 X to the power of 3 minus x to the power of 2 plus 10x (answered by ewatrrr)

Please solve using logs:2^2x+4 minus 2 to the power of 2x = 120 Please show steps... (answered by scott8148)

Solve using logs: 2 to the power of 2x +4 minus 2 to the power of 2x = 120 Please show (answered by scott8148)

x to the power of 3 minus 2z is... (answered by josgarithmetic)

x rise to the power of 2 ± x minus 3 equals... (answered by MathLover1,ikleyn)

x to the power of 2 minus 200x plus... (answered by solver91311)