4 years ago

Log7^x-log7^3=1 if anyone can help me with this problem please help me

1 answer:

5 0

Log7 (x+3) - log7 (x-3) = 1
log7 [(x+3) / (x-3)] = 1
raise both sides to power of 7
(x+3) / (x-3) = 7
7x – 21 = x + 3
6x = 24
x = 4

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For this question we will use the following relations.

100 centimeters=1 meter (or 1 centimeter= 0.01 meter)

10 millimeter=1 centimeter (or 1 mm=0.1 cm)

60 minutes = 1 hour (or 1 min= $\frac{1}{60}$ hour)

Now, Jackson's speed is 1350 meters per hour. This can be converted to cm per minute as follows:

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Likewise, Jonah's swim speed in cm/min can be calculated as:

$\frac{1250 mm}{1 s}=\frac{1250\times 0.1 cm}{\frac{1}{60}min } =\frac{125\times 60 cm}{1 min}=7500cm/min$ ...Equation 2

As we can see clearly after comparing Equation 1 and Equation 2, Jonah's swim speed of 7500 cm/min is faster than that of Jackson.

Thus, option B is correct.

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