2
QuizMultiple Choice

Exponential and Logarithmic Functions — Test

Question 2 • Mathematics III

What is the solution to log sub 5 of open paren x plus 30 close paren is equal to 3 ?

Answer
A
x is equal to negative 5
B
x is equal to 5
C
x is equal to negative 95
D
x is equal to 95

Explanation

Rewrite the logarithmic equation in exponential form: x + 30 = 5³ = 125. Subtract 30 from both sides to get x = 95. This is valid because the logarithm’s input, x + 30, is positive; 95 + 30 = 125. The correct choice is x is equal to 95.

AI-written and checked against the verified answer.

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