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Eva8 [605]
3 years ago
5

125^2x = 25 Help me please

Mathematics
2 answers:
Pani-rosa [81]3 years ago
5 0
125^2x = 25
15625x = 25
x = 0.0016
Andrew [12]3 years ago
4 0

Answer: 23

Step-by-step explanation:

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Nataly [62]

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Step-by-step explanation:

One is given the following expression:

log_2(x)+log_4(x)=5

Use the logarithm base change rule, which states the following:

log_b(y)=\frac{log(y)}{log(b)}

Remember, a logarithm with not base indicated is another way of writing a logarithm to the base of (10). One can apply the base change rule to this situation:

log_2(x)+log_4(x)=5

\frac{log(x)}{log(2)}+\frac{log(x)}{log(4)}=5

Factor out (log(x)),

(log(x))(\frac{1}{log(2)}+\frac{1}{log(4)})=5

Inverse operations:

log(x)=\frac{5}{\frac{1}{(log(2)+log(4)}}

Simplify,

log(x)=5(log(2)+log(4))

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log(x)=4.51545

10^4^.^5^1^5^4^5=x

32768.000=x

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2 years ago
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