Question

solve the exponential equation​

Answer 1

Step-by-step explanation:

(√6)^(x-1) = 1

Since, the result is 1, therefore

x - 1 = 0

x = 1

Reason,

a^m = 1. This is only possible if m is zero.

Answer 2

Answer:

$Value \:of \:x = 2$

Step-by-step explanation:

$Given \:(\sqrt{6})^{x-2}=1$

$\implies (\sqrt{6})^{x-2}=(\sqrt{6})^{0}$

$Since,\:\boxed {a^{0}=1}$

$\implies x-2 = 0$

$Since , \boxed {If\:a^{m}=a^{n} \:then \:m=n}$

$\implies x = 2$

Therefore,

$Value \:of \:x = 2$

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