How do you solve $2 (5^{2 x - 9}) = 250$ $2( 5^ { 2x - 9} ) = 250$ ?

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How do you solve $2 (5^{2 x - 9}) = 250$ $2( 5^ { 2x - 9} ) = 250$ ?

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Answer 1 · 2016-12-02T01:57:41

$x = 6$ $x=6$

Explanation:

$2 (5^{2 x - 9}) = 250$ $2(5^(2x-9))=250$
$\Rightarrow 5^{2 x - 9} = 125$ $=> 5^(2x-9)=125$
$\Rightarrow 5^{2 x - 9} = 5^{3}$ $=> 5^(2x-9)=5^3$
$\Rightarrow 2 x - 9 = 3$ $=> 2x-9=3$
$\Rightarrow 2 x = 12$ $=> 2x=12$
$\Rightarrow x = 6$ $=> x=6$

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How do you solve $2 (5^{2 x - 9}) = 250$ $2( 5^ { 2x - 9} ) = 250$ ?

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How do you solve $2 (5^{2 x - 9}) = 250$ $2( 5^ { 2x - 9} ) = 250$ ?