Question

Find the value of x​

Answer 1

Answer:

$( \frac{125}{8} ) \times ( \frac{125}{8} ) {}^{x} = ( \frac{5}{2} ) {}^{18} \\ ( \frac{5}{2} ) {}^{3} \times ( \frac{5}{2} ) {}^{3x} = (\frac{5}{2} ) {}^{18}$

When the base is same then put the powers in equivalent.

3 × 3x = 18

3x = 18/3

3x = 6

x = 6/3 = 2

=> x = 2

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