AnswersAlgebra IISolving Exponential Equations by Rewriting the Base

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Which equation is equivalent to 16 raised to the 2 p power is equal to 32 raised to the p plus 3 power ?

A
2 raised to the 8 p power is equal to 2 raised to the 5 p plus 3 power
B
8 raised to the 4 p power is equal to 8 raised to the 4 p plus 12 power
C
2 raised to the 8 p power is equal to 2 raised to the 5 p plus 15 power
D
8 raised to the 4 p power is equal to 8 raised to the 4 p plus 3 power
3

Which equation is equivalent to 2 raised to the 4 x power is equal to 8 raised to the x minus 3 power ?

A
2 raised to the 4 x power is equal to 2 raised to the 2 x minus 3 power
B
2 raised to the 4 x power is equal to 2 raised to the 3 x minus 3 power
C
2 raised to the 4 x power is equal to 2 raised to the 3 x minus 9 power
D
2 raised to the 4 x power is equal to 2 raised to the 2 x minus 6 power
5

Solve: 12 raised to the x squared plus 5 x minus 4 power is equal to 12 raised to the 2 x plus 6 power

A
x is equal to negative 5
B
no solution
C
x is equal to 2 , x is equal to negative 5
D
x is equal to 2
10

Which equation is equivalent to 1 third to the x th power is equal to 27 raised to the x plus 2 power ?

A
3 to the x th power is equal to 3 raised to the negative 3 x plus 2 power
B
3 raised to the negative x power is equal to 3 raised to the 3 x plus 12 power
C
3 raised to the negative x power is equal to 3 raised to the 3 x plus 6 power
D
3 to the x th power is equal to 3 raised to the 3 x plus 6 power

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