38
practice examMultiple Choice

Practice Exam

Question 38 • Mathematics III

Which equation has x is equal to 4 as the solution?

Answer
A
log sub 3 of open paren 2 x minus 5 close paren is equal to 2
B
log sub 4 of open paren 3 x plus 4 close paren is equal to 2
C
the log base x of 64 is equal to 4
D
the log base x of 16 is equal to 4

Explanation

Substitute x = 4 into choice B: 3(4) + 4 = 16, and log base 4 of 16 equals 2 because 4² = 16. So choice B has x = 4 as a solution. The other choices do not: their logarithms evaluate to 3, 1, and 2, respectively, rather than 4, 2, and 2 as required.

AI-written and checked against the verified answer.

Previous
Next