Question

find x if (-1/3) raise to -18÷ (-1/3)raise to 7=(-1/3)raise to power -2x+1
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Answer 1

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Question :-

Find x if \rm \dfrac{( \frac{ - 1}{3} ) ^{ - 18}}{( \frac{ - 1}{3} ) ^{ 7}} = (\dfrac{ - 1}{3})^{ - 2x + 1}

(

3

−1

) 7(3−1)−18=(3−1)−2x+1

.

Answer

➩ \rm \dfrac{\Big( \frac{ - 1}{3}\Big) ^{ - 18}}{\Big( \frac{ - 1}{3} ) ^{ 7}} = (\dfrac{ - 1}{3}\Big)^{ - 2x + 1}

(

3

−1

)

7

(

3

−1

)

−18

=(

3

−1

)

−2x+1

ㅤ

➩

3

−1

)

−18−7

=(

3

−1

)

−2x+1

ㅤ

➩ \r

3

−1 )−25 =(3−1)−2x+1

➩ -25 = -2x + 1−25=−2x+1

➩ 2x = 25 + 12x=25+1

➩ 2x = 262x=26

➩ x = 26/2

➩ x = 13