## Intermediate Algebra (6th Edition)

$x=7$
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x$ and every real number $y$. Therefore, $log_{x}49=2$ is equivalent to $x^{2}=49$. We can now solve for x. Take the square root of both sides. $(x^{2})^{\frac{1}{2}}=(49)^{\frac{1}{2}}$ $x=7$
The text passage contains a mathematical explanation and a solution to a logarithmic equation, with the question and its answer provided.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
## Intermediate Algebra (6th Edition)

$x=7$
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x$ and every real number $y$. Therefore, $log_{x}49=2$ is equivalent to $x^{2}=49$. We can now solve for x. Take the square root of both sides. $(x^{2})^{\frac{1}{2}}=(49)^{\frac{1}{2}}$ $x=7$
user
The text passage contains a mathematical explanation and a solution to a logarithmic equation, with the question and its answer provided.

TYPE: SINGLE_QUESTION_WITH_ANSWER