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Evaluating Logarithmic Expressions

Question 7 • FL-1200330-Algebra 2 CR

Which equation(s) have x = 2 as the solution?

Answer
A
log2(5x + 6) = 4
B
logx16 = 4
C
log3(6x + 4) = 3
D
logx36 = 6

Explanation

Substitute x = 2 into each equation. For A, 5(2) + 6 = 16, and log₂16 = 4, so it works. For B, the base becomes 2, and log₂16 = 4, so it works as well. For C, the logarithm is log₃16, which is not 3; for D, log₂36 is not 6 because 2⁶ = 64, not 36.

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