Question

1
(D) Find the value of x , if 31-1
27
$find \: the \: value \: of \: x \: if \: 3raised \: to \: power \: x - 1 = 1 \div 27$
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Answer 1

Step-by-step explanation:

$given \: that \: {3}^{x - 1} = 1 \div 27 \\ \: = > {3}^{x - 1 } = 1 \div {3}^{3 } \\ \: = > {3}^{x - 1} = ( \frac{1}{3} )^{3} \\ \: we \: know \: that \: \: {a}^{ - n} = {1 \div a}^{n} \\ \: = > {3}^{x - 1} = 3 ^{ - 3} \: \\ \: since \: bases \: are \: equal \: then \: exponents \: must \: be \: equal. \\ \: = > x - 1 = - 3 \\ \: = > x = - 3 + 1 \\ \: = > x = - 2 \\ \: the \: value \: of \: x = - 2 \\ \: check. - \\ \: {3}^{ - 2 - 1} = {3}^{ - 3} = \frac{1}{27}$

Answer 2

Answer:

-2 is the answer for your question