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ludmilkaskok [199]
1 year ago
5

If the equation below is solved by graphing, which statement is true? log (6 x + 10) = log 1/2 x

Mathematics
1 answer:
kicyunya [14]1 year ago
6 0

The solution to the given expression is x = -20/11

<h3>
What are logarithmic functions?</h3>

Logarithmic function are inverse of exponential functions. Given the equation below;

log (6 x + 10) = log 1/2 x

In order to determine the solution to the given logarithmic equation, we will first have to cancel the logarithm on both sides to have

6x + 10 = 1/2x

Collect the like terms

6x - 1/2x = 0 - 10

Find the LCD

12x-x/2 = -10
11x/2 = -10

Cross multiply

11x = -2 * 10

11x = -20

Divide both sides by 11

11x/11 = -20/11

x = -20/11

Hence the solution to the given expression is x = -20/11

Learn more on log functions and graph here: brainly.com/question/2086094

#SPJ1

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Complete Question

When the Olympic Games were held outside Mexico City in 1968, there was much discussion about the effect the high altitude (7340 feet) would have on the athletes. Assuming air pressure decays exponentially by 0.5% every 100 feet, by what percentage is air pressure reduced by moving from sea level to Mexico City?

Round your answer to one decimal place.    

....... %

Answer:

The value is  x = 73.4\%

Step-by-step explanation:

From the question we are told that

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   The rate at which air pressure decays is  0.5% per 100 feet  

From the data given

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=>  x = \frac{7340}{100}

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