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Archy [21]
3 years ago
7

Using properties of logarithms in excersises 13-18, use the properties of logarithms o write the logarithm in terms of log3(5) a

nd log3(7) log3 (21/5)
Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1

Step-by-step explanation:

Given

log_3(\frac{21}{5})

Required

Express in terms of log_3(5) and log_3(7)

log_3(\frac{21}{5})

Express 21 as 7 * 3

log_3(\frac{21}{5}) = log_3(\frac{7 * 3}{5})

Apply law of logarithm

log_3(\frac{21}{5}) = log_3(7) + log_3(3) - log_3(5)

log_3(3) = 1. So, we have:

log_3(\frac{21}{5}) = log_3(7) + 1 - log_3(5)

Rewrite:

log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1

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5 0
2 years ago
I geologist note is that the land alone at fault line moved 24.8 cm over the past 175 years on average how much did the land mor
zmey [24]
First, let's establish a ratio between these two values. We'll use that as a starting point. I personally find it easiest to work with ratios as fractions, so we'll set that up:

\frac{24.8\ cm}{175\ years}

To find the distance <em>per year</em>, we'll need to find the <em>unit rate</em> of this ratio in terms of years. The word <em>unit</em> refers to the number 1 (coming from the Latin root <em>uni-</em> ); a <em>unit rate</em> involves bringing the number we're interested in down to 1 while preserving the ratio. Since we're looking for the distance the fault line moves every one year, we'll have to bring that 175 down to one, which we can do by dividing it by 175. To preserve our ratio, we also have to divide the top by 175:

\frac{24.8\ cm}{175\ years}\div  \frac{175}{175}  \approx  &#10;\frac{0.14\ cm}{1\ year}

We have our answer: approximately 0.14 cm or 1.4 mm per year
3 0
3 years ago
Explain how you can find the opposite of the opposite of any number without using a number line
liberstina [14]
Just make that number negative to find the opposite but the opposite of the negative number is going to be the original number again.
4 0
3 years ago
What value of m gives the system infinitely many solutions?<br> -X + 4y = 32<br> y = mx + 8
Shalnov [3]
Yes yes it’s b the answer is B
3 0
3 years ago
Read 2 more answers
7.40
quester [9]

Answer:

Is there anyway you could rewrite this? then I could help you!

6 0
2 years ago
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