7
AssignmentMultiple Choice

Solving Exponential Equations by Rewriting the Base

Question 7 • DHS Algebra 2 V

Solve:363s = 2162s+1

Answer
A
s = –3
B
s = 1
C
s = 3
D
no solution

Explanation

Rewrite the bases using powers of 6: 36 = 6² and 216 = 6³. Then the equation becomes 6^(6s) = 6^(6s+3). Since equal positive powers with the same base must have equal exponents, this would require 6s = 6s + 3, which is impossible. Therefore, the equation has no solution.

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