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Αν 2x−1 = 8 2^{x-1}\ =\ 8\ 2x−1 = 8 τότε x =
3
2
4
0
Aν 32x = 93^{2x}\ =\ 932x = 9 τότε x =
1
Aν 5X = 52x−15^X\ =\ 5^{2x-1}5X = 52x−1 τότε x =
-1
Aν 2x=4x+12^x=4^{x+1}2x=4x+1 τότε x =
-2
Αν 3x=27x+23^x=27^{x+2}3x=27x+2 τότε x =
-3
3x+3x+1 =123^x+3^{x+1}\ =123x+3x+1 =12 τότε x =
Αν 54−x2 =15^{4-x^2}\ =154−x2 =1 τότε χ =
x =1 ή x = -1
x = -2 ή x = 2
Aν 9x−3x+1=09^x-3^{x+1}=09x−3x+1=0 τότε χ =
Αν 3⋅2x = 2⋅3x3\cdot2^x\ =\ 2\cdot3^x3⋅2x = 2⋅3x τότε x =
Aν 9x = 39^x\ =\ \sqrt[]{3}9x = 3 τότε:
12\frac{1}{2}21
14\frac{1}{4}41
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