Select the correct answer to the following equation: x54=243

Question

.(1 point)
Responses

81
81
3
3
no solution
no solution
27

Answer 1

To solve the equation \( x54 = 243 \), we can rewrite it to isolate \( x \):

1. Divide both sides by 54:

   \[ x = \frac{243}{54} \]

2. Calculate \( \frac{243}{54} \):

   • First, simplify \( \frac{243}{54} \).

   • Dividing both the numerator and denominator by 27 (the greatest common divisor):

   \[ \frac{243 \div 27}{54 \div 27} = \frac{9}{2} = 4.5 \]

So, \( x = 4.5 \) is not one of the provided responses (81, 3, no solution, or 27).

Since none of the responses accurately reflect the solution of 4.5, it appears there is no solution among the given choices based on the results of the calculation. If the form of the equation or additional context were provided, it would help determine if there was an error in interpretation.

The correct answer from the given options is:

• no solution.