Solving Exponential Equations by Rewriting the Base

If 8^y = 16^y+2, what is the value of y?

a. -8

If 12^x^2+5x+4 = 12^2x+6, what could be the value of x?

c. x = 2, x = -5

Which equation is equivalent to 16^2p = 32^p+3 ?

c. 2^8p = 32^p+3 ?

If 2^2x = 2^3, what is the value of x?

b. 3/2

For what value of b does (1/12)^-2b * 12^-b+2 = 12 ?

d. no solution

For what value of x does 3^2x = 9^3x-4 ?

b. 2

Which equation is equivalent to 2^4x = 8^x-3 ?

d. 2^4x = 2^3x-9

Which equation is equivalent to (1/9)^a+1 = 81^a+1 * 27^2-a ?

a. -4

If 3^2x+1 = 3^x+5, what is the value of x?

c. 4

If 36^12-m = 6^2m, what is the value of m?

b. 6

Which equation is equivalent to (1/3)^x = 27^x+2 ?

d. 3^-x = 3^3x+6

For what value of y does 125 = (1/25)^y-1 ?

d. -1/2

For what value of x does 4^x = (1/8)^x+5 ?

b. -3

For what value of a does (1/7)^3a+3 = 343^a-1 ?

b. 0