79
QuizMultiple Choice

N/A — Exam

Question 79 • Algebra II

Omar wants to use a graph to solve the equation. the log base 6 of x is equal to log sub 2 of open paren x plus 4 close paren Which system of equations should Omar use?

Answer
A
y sub 1 is equal to the fraction with numerator log x and denominator log 6 , y sub 2 is equal to the fraction with numerator log x plus 4 and denominator log 2
B
y sub 1 is equal to the fraction with numerator log 6 and denominator x , y sub 2 is equal to the fraction with numerator log 2 and denominator x plus 4
C
y sub 1 is equal to the fraction with numerator log 6 and denominator log 2 , y sub 2 is equal to log x over the log of open paren x plus 4 close paren
D
y sub 1 is equal to the fraction with numerator log x and denominator log 6 , y sub 2 is equal to the fraction with numerator the log of open paren x plus 4 close paren and denominator log 2

Explanation

Use the change-of-base formula, log_b(a) = log(a) / log(b). Thus log₆(x) becomes log(x) / log(6), and log₂(x + 4) becomes log(x + 4) / log(2). Choice D gives these two expressions, so Omar can graph them and find where their y-values are equal.

AI-written and checked against the verified answer.

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