3 years ago

Use the definition of logarithm to simplify each expression.

1 answer:

7 0

$1)\ \ \ log 10 ^{10}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{10}\ \ \ \Leftrightarrow\ \ \ \ \ \ x=10\\\\2) \ \ \ log 10 ^{100}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{100}\ \ \ \Leftrightarrow\ \ \ x=100\\ \\ 3)\ \ \ log 10 ^ {10-4}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{10-4}\ \ \ \Leftrightarrow\ \ \ x=6$

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2 years ago

1. When you measure the length of an object to the eighth of an inch and again to the fourth of an inch, which measurement is mo

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Answer:

The eighth of an inch scale measures more precisely.

Step-by-step explanation:

An eighth of an inch means that one inch is divided into 8 equal lengths on the scale i.e. the minimum length that can be measured is $\frac{1}{8} =0.125$ inch.

Again a fourth of an inch means that one inch is divided into 4 equal lengths on the scale i.e. the minimum length that can be measured is $\frac{1}{4} =0.25$ inch.