How do you solve $10^(x+4) =1000$ ?

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Answer 1 · 2016-03-28T13:04:57

$x=-1$

$10^(x+4)=1000$
$color(blue)(10)^(x+4)=color(blue)(10)^3$
$"the equation has the same base value;"$
$x+4=3 " it can be written"$
$x=3-4$

$x=-1$

How do you solve 10^(x+4) =100010^(x+4) =1000?