Solving Exponential Equations by Rewriting the Base — Quiz

Question 1

If 8 to the y th power is equal to 16 raised to the y plus 2 power , what is the value of y ?

Revolt · Accepted Answer

negative 8

Question 2

For what value of x does 3 raised to the 2 x power is equal to 9 raised to the 3 x minus 4 power ?

Revolt · Accepted Answer

2

Question 3

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

Revolt · Accepted Answer

2 raised to the 4 x power is equal to 2 raised to the 3 x minus 9 power

Question 4

If 2 raised to the 2 x power is equal to 2 cubed , what is the value of x ?

Revolt · Accepted Answer

3 halves

Question 5

If 3 raised to the 2 x plus 1 power is equal to 3 raised to the x plus 5 power , what is the value of x ?

Revolt · Accepted Answer

4

Question 6

For what value of a does 9 is equal to open paren 1 over 27 close paren raised to the A plus 3 power ?

Revolt · Accepted Answer

negative 11 thirds

Question 7

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

Revolt · Accepted Answer

2 raised to the 8 p power is equal to 2 raised to the 5 p plus 15 power

Question 8

If 5 raised to the 3 b minus 1 power is equal to 5 raised to the b minus 3 power , what is the value of b ?

Revolt · Accepted Answer

negative 1

Question 9

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

Revolt · Accepted Answer

x is equal to 2 , x is equal to negative 5

Question 10

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

Revolt · Accepted Answer

3 raised to the negative x power is equal to 3 raised to the 3 x plus 6 power

Solving Exponential Equations by Rewriting the Base — Quiz Answers