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3 years ago

12

1. The average distance from the Earth to the moon is about 384,000 kilometers. What is this number written in scientific notati

on?

2 answers:

Burka [1]3 years ago

8 0

Answer:

3.84 x 10^5

Step-by-step explanation:

aliina [53]3 years ago

7 0

Answer:

3.84x10^5

Step-by-step explanation:

count how many times the decimal was moved to the right and that is the exponent

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2 years ago

[20 pts] evaluate the logarithm log(6)1/36, show work pls!

Delvig [45]

Answer:

$\large\boxed{\log_6\dfrac{1}{36}=-2}$

Step-by-step explanation:

$\text{We know:}\\\\\log_ab=c\iff a^c=b\\\\\log_6\dfrac{1}{36}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_636^{-1}=\log_6(6^2)^{-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\log_66^{(2)(-1)}=\log_66^{-2}\qquad\text{use}\log_ab^n=n\log_ab\\\\=-2\log_66\qquad\text{use}\ \log_aa=1\\\\=-2(1)=-2$

$\log_6\dfrac{1}{36}=-2\ \text{because}\ 6^{-2}=\dfrac{1}{6^2}=\dfrac{1}{36}$

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3 years ago