How do you solve $4*5^(x/2)=500$ ?

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Answer 1 · 2016-06-17T08:13:49

The value of $color(blue)(x = 6$

$color(blue)(4) * 5 ^(x/2) = 500$

$5 ^(x/2) = 500 / color(blue)(4$

$5 ^(x/2) = 125$

$125$ can also be expressed as $5^3$ , so the expression now becomes:

$5 ^(x/2) = 5^3$
Now as the bases are equal we can equate the powers and obtain the value of $x.$

$x/2 = 3$

$color(blue)(x = 6$

How do you solve 4*5^(x/2)=5004*5^(x/2)=500?