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erma4kov [3.2K]
3 years ago
12

Which expression is the correct one?

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0
According to the logarithmic property of base change, the correpta answer is option one or the first.
 The logarithmic property of base change says that
 loga (b) = logc (b) / logc (a)
 Therefore the same property applies to this problem and the correct expression for this question is:
 logb (x) / logb (a)
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3 years ago
What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32
denis23 [38]

Answer:

Option (d) is correct.

\sqrt{10000x^{64}}=100x^{32}

Step-by-step explanation:

Given : Expression \sqrt{10000x^{64}}

We have to write a simplified form of the given expression \sqrt{10000x^{64}}

Consider the given expression \sqrt{10000x^{64}}

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0

=\sqrt{10000}\sqrt{x^{64}}

Factor 10000 as 10000=100^2

\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a

\sqrt{100^2}=100

also, \mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0

We have,

\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}

Thus, \sqrt{10000x^{64}}=100x^{32}

8 0
3 years ago
Read 2 more answers
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M + t + w = 19
t = 2m
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now we sub
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m = 5 <== she sold 5 books on Monday

t = 2m......t = 2(5)...t = 10 <== she sold 10 books on Tuesday
w = 2m - 6....w = 2(5) - 6....w = 10 - 6...w = 4 <== she sold 4 books on Wednesday.

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Answer:

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Step-by-step explanation:

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