SOLUTION: (27) ^2x+1 = 3^-1. Solve for x. Choose one answer. a. 2/3 b. No solution c. 3/2 d. -2/3 e. -3/2

Question 763313: (27) ^2x+1 = 3^-1. Solve for x.
Choose one answer.
a. 2/3
b. No solution
c. 3/2
d. -2/3
e. -3/2
Found 2 solutions by MathLover1, algebrahouse.com:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

...write is same base
.....if bases same, exponents same too

...divide by

so, answer is: d.

Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
27^(2x + 1) = 3^-1
3^3(2x + 1) = 3^-1 {changed 27 to have a base of 3}
3(2x + 1) = -1 {since bases are equal, set exponents equal to each other}
6x + 3 = -1 {used distributive property}
6x = -4 {subtracted 3 from each side}
x = -2/3 {divided each side by 6 and reduced}

For more help from me, visit: www.algebrahouse.com

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