Question

if (-3)x-1=-243 then find the value of -7)x-6​

Answer 1

Question :- if (-3)^(x-1) = -243 then find the value of (-7)^(x-6) = ?

Solution :-

→ (-3)^(x-1) = -243

→ (-3)^(x - 1) = (-3) * (-3) * (-3) * (-3) * (-3)

→ (-3)^(x-1) = = (-3)⁵

using a^m = a^n => m = n

→ x - 1 = 5

→ x = 6

Therefore,

→ (-7)^(x - 6)

Putting x = 6 now,

→ (-7)^(6 - 6)

→ (-7)^0

Now, we know that , a^0 = 1 .

Hence,

→ (-7)^0

→ 1 .(Ans.)

Learn more :-

Show that 3√27×3√125=3√27×125

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Answer 2

Answer:

(-3) ^(x-1) =-243

(-3)^(x-1) = (-3)* (-3)*(-3)*(-3)*(-3)

(-3)^(x-1)= (-3)5

x -1= 5

x-6

so the answer will be 1

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