Question 17183
{{{ 7^(-x) = 49^(x+3) }}}
{{{ 7^(-x) = (((7)^2)^(x+3)) }}}
{{{ 7^(-x) = 7^(2(x+3)) }}}
equating the bases we get,
-x=2(x+3)
-x=2x+6
-3x=6
x=-2
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Hope this helps,
Prabhat