Question

If 27²x-¹ =(242)³, then find the value of 5²x-⁴
Note : the two x in the question are powers not rational number

Answer 1

Step-by-step explanation:

${27}^{2x - 1} = {242}^{3} \\ equating \: powers 2x - 1 = 3 \\ 2x = 3 + 1 \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2$

$so \: {5}^{2x - 4} \\ {5}^{2 \times 2 - 4 } \\ {5}^{4 - 4} \\ {5}^{0 } \\ = 1$

So, answer is 1

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Answer 2

Answer:

Step-by-step explanation:

\begin{gathered}{27}^{2x - 1} = {242}^{3} \\ equating \: powers 2x - 1 = 3 \\ 2x = 3 + 1 \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2 \\\end{gathered}

27

2x−1

=242

3

equatingpowers2x−1=3

2x=3+1

2x=4

x=

2

4

x=2

\begin{gathered}so \: {5}^{2x - 4} \\ {5}^{2 \times 2 - 4 } \\ {5}^{4 - 4} \\ {5}^{0 } \\ = 1\end{gathered}

so5

2x−4

5

2×2−4

5

4−4

5

0

=1

So, answer is 1

Step-by-step explanation:

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