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Which value of x makes the numerical sentence true? 25^ 1/2 × 5 ^–3 = 5 ^x

User Augustzf
by
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2 Answers

5 votes
5^-3=0.008
1/2=0.5
0.5*0.008=0.004
5/0.004=1250
User TauzN
by
8.2k points
5 votes
25^1/2 × 5^–3 = 5 ^x
(5^2)1/2 × 5^–3 = 5^x
5^1 × 5^–3 = 5^x
5^-2 = 5^x
-2 = x
or
x = -2

answer
x = -2 makes the numerical sentence true
User Pinturikkio
by
8.0k points

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