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Dovator [93]
3 years ago
8

Rewrite the expression as an equivalent ratio of logs using the indicated base.log17(52.875) to base 10.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

log_{17}52.875 = log_{10}52.875 : log_{10}17}

Step-by-step explanation:

Given

log_{17}(52.875)

Required

Convert to base 10

To do this, we make use of the following logarithm laws;

log_ba = \frac{log_{10}a}{log_{10}b}

In the given parameters;

a = 52.875

b = 17

Substitute these values in log_ba = \frac{log_{10}a}{log_{10}b}

log_{17}52.875 = \frac{log_{10}52.875}{log_{10}17}

Represent as a ratio

log_{17}52.875 = log_{10}52.875 : log_{10}17}

Hence;

log_{17}(52.875) is represented as log_{17}52.875 = log_{10}52.875 : log_{10}17}

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3 years ago
Evaluate 1 3/7-(2/3+5/7)​
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Step-by-step explanation:

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2 years ago
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The distance from the sun is option 2 5.59 astronomical units.

Step-by-step explanation:

Step 1; To solve the question we need two variables. P which represents the number of years a planet takes to complete a revolution around the Sun. This is given as 13.2 years in the question so P = 13.2 years. The other variable is the distance between the planet and the sun in astronomical units. We need to determine the value of this using the given equation.

Step 2; So we have to calculate the value of 'a' in Kepler's equation. But the exponential power \frac{3}{2} is on the variable we need to find so we multiply both the sides by an exponential power of \frac{2}{3} to be able to calculate 'a'.

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3 years ago
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