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Gekata [30.6K]
2 years ago
10

Log_8(5x+4)=3x-4

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
6 0

The equivalent equation of the logarithmic equation is 5x + 4 = 8^{3x - 4}

<h3>How to rewrite the equation?</h3>

The logarithmic equation is given as

Log_8(5x+4)=3x-4

Rewrite properly as:

\log_8(5x+4)=3x-4

Apply the following law of logarithm

\log_a(b) = x \to a = b^x

So, we have:

5x + 4 = 8^{3x - 4}

Hence, the equivalent equation of the logarithmic equation is 5x + 4 = 8^{3x - 4}

Read more about logarithms at:

brainly.com/question/450777

#SPJ1

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The first step would be :

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3 years ago
Total Price: The sales tax rate is 5%. If the sales tax on a 10-speed bicycle is $9, what is the purchase price?
Lesechka [4]

Answer:

The purchase price is $180

The total price is: $189

Step-by-step explanation:

Sales tax rate = 5\%

Sales tax on bike = $9

We need to find the purchase price.

Let purchase price = x

We know that Sales tax = 5% of x

and Total price = Purchase Price + Sales tax

So, we can write:

Sales tax = 5% of x

Putting values and finding x

9 =5\% \:of\: x\\9=\frac{5}{100}\:of\:x \\x= \frac{9*100}{5}\\x=180

So, the value of x i.e Purchase price = $180

The purchase price is $180

Now finding the total price of bicycle

Total price = Purchase Price + Sales tax

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So, The total price is: $189

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Linear System Word Problem - Animals
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4 0
3 years ago
In Joe's fish tank, there are 5 goldfish and 9 snails. How does the ratio 9:14 describe Joe's fish tank?
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4 0
3 years ago
a group of astronauts launched a model rocket from a platform. Its flight path is modeled by h= -4t^2+24t+13 where h is the heig
Eddi Din [679]

Answer:

6.5 seconds

Step-by-step explanation:

Keep in mind that when h=0, this is the same height for both when the model rocket takes off and lands, so when the rocket lands, time is positive. Thus:

h=-4t^2+24t+13\\\\0=-4t^2+24t+13\\\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\t=\frac{-24\pm\sqrt{24^2-4(-4)(13)}}{2(-4)}\\ \\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{784}}{-8}\\\\t=\frac{-24\pm28}{-8}\\\\t=\frac{-24-28}{-8}\\ \\t=\frac{-52}{-8}\\ \\t=\frac{52}{8}\\\\t=6.5

So, the amount of seconds that the model rocket stayed above the ground since it left the platform is 6.5 seconds

5 0
2 years ago
Read 2 more answers
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