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4vir4ik [10]
3 years ago
8

ir the volumen of a triangular prisma is 126feet clubes and the area of the base is 63feet. what is the night of the prism?

Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0
To find the height of the triangular prism, you will use he formula for finding the volume of a prism and solve for the missing height.

V = Bh, where B is the area of the base.

<u>126</u> = <u>63h</u>
63      63
h = 2 feet

The height of the triangular prism is 2 feet.
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Answer:  

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Step-by-step explanation:

To write the expression as a single logarithm, or condense it, use the properties of logarithms.  

1) The power property of logarithms states that log_ax^r = rlog_ax. In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.  

So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:

3log_bw+4log_by\\=log_bw^3+log_by^4

2) The product property of logarithms states that log_axy = log_ax+log_ay. In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of w^3 and y^4. Apply the property as seen below and find the final answer.  

log_bw^3+log_by^4\\=log_b(w^3y^4)

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3 years ago
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Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

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