Asked by Mike Tyson
Match the exponential equation to the correct answer. (3 points)
122-5
3x-4+2x
=
123x
33(2x+7)
5275-93
25
:: x = - -3
x =
x =
3
52
122-5
3x-4+2x
=
123x
33(2x+7)
5275-93
25
:: x = - -3
x =
x =
3
52
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve the exponential equations given, we will work through them step by step.
1. For the first equation:
\( 12^{2-5} = 12^{x} \)
Simplifying the left side:
\( 12^{-3} = 12^{x} \)
Therefore, \( x = -3 \).
2. For the second equation:
\( 3^{x-4} + 2^{x} = 1.23^{x} \) (Assuming a format correction as the equation isn't clearly defined). Solving this would typically require a numerical method or graphing, and cannot be directly solved without further context.
3. For the third equation:
\( 3^{3}(2^{x+7}) = 5^{2} \)
Equals \( 27 \cdot 2^{x+7} = 25 \).
To isolate \( x \), we find:
\( 2^{x+7} = \frac{25}{27} \)
Solving for \( x \), we would take logarithms for the \( 2^{x} \) term which is again not directly solvable without further specifics.
4. The last part states \( 5275 - 93 = 25 \), which appears to be an arithmetic operation and not an exponential equation. The current resolution can be implied as \( x = 3 \).
Final match summary:
- The equation that solved to \( x = -3 \) is matched with \( 12^{2-5} \).
- The equation \( x = 3 \) appears to match the last operation of addition since it's not exponential.
It would be best if you provide clearer formatting for each equation for precise matching and solution steps.
1. For the first equation:
\( 12^{2-5} = 12^{x} \)
Simplifying the left side:
\( 12^{-3} = 12^{x} \)
Therefore, \( x = -3 \).
2. For the second equation:
\( 3^{x-4} + 2^{x} = 1.23^{x} \) (Assuming a format correction as the equation isn't clearly defined). Solving this would typically require a numerical method or graphing, and cannot be directly solved without further context.
3. For the third equation:
\( 3^{3}(2^{x+7}) = 5^{2} \)
Equals \( 27 \cdot 2^{x+7} = 25 \).
To isolate \( x \), we find:
\( 2^{x+7} = \frac{25}{27} \)
Solving for \( x \), we would take logarithms for the \( 2^{x} \) term which is again not directly solvable without further specifics.
4. The last part states \( 5275 - 93 = 25 \), which appears to be an arithmetic operation and not an exponential equation. The current resolution can be implied as \( x = 3 \).
Final match summary:
- The equation that solved to \( x = -3 \) is matched with \( 12^{2-5} \).
- The equation \( x = 3 \) appears to match the last operation of addition since it's not exponential.
It would be best if you provide clearer formatting for each equation for precise matching and solution steps.
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