Question

question 12, 18. solve the equation. log₃(x + 7)=2 select the correct choice below and fill in any answer boxes present in y a. x= (simplify your answer, including any radicals. use integers or fra b. there is no solution.

Explanation:

Step1: Convert to exponential form

By the definition of logarithms, if $\log_{a}b = c$, then $b=a^{c}$. So for $\log_{3}(x + 7)=2$, we have $x + 7=3^{2}$.

Step2: Solve for x

$3^{2}=9$, so $x+7 = 9$. Subtract 7 from both sides: $x=9 - 7$.

Answer:

A. $x = 2$