Question

Find the value of x in the expression - 3^5x-1 ÷ 27 = 3^-5

Answer 1

here is your answer....


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Answer 2

$3 {}^{5x - 1} \div 27 = 3 {}^{ - 5} \\ 3 {}^{5x} \times 3 {}^{ - 1} \div 27 = 3 {}^{ - 5} \\ {3}^{5x} = 3 { }^{ - 5} \times 3 \times 3 {}^{3} \\ 3 {}^{5x} = 3 {}^{ - 1}$
When bases are same, we equate powers
So,
$5x = - 1 \\ x = \frac{ - 1}{5}$