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Anna11 [10]
3 years ago
12

What is the logarithmic form of the solution to 102t = 9?

Mathematics
1 answer:
Harman [31]3 years ago
8 0

Equivalent equations are equations that have the same value

The equation in logarithmic form is t = \frac{\log(9)}{2}

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

The expression is given as:

10^{2t} = 9

Take the logarithm of both sides

\log(10^{2t}) = \log(9)

Apply the power rule of logarithm

2t\log(10) = \log(9)

Divide both sides by log(10)

2t = \frac{\log(9)}{\log(10)}

Apply change of base rule

2t = \log_{10}(9)

Divide both sides by 2

t = \frac{\log_{10}(9)}{2}

Rewrite as:

t = \frac{\log(9)}{2}

Hence, the equation in logarithmic form is t = \frac{\log(9)}{2}

Read more about logarithms at:

brainly.com/question/25710806

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What is the area of the parllelogtam shown below
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<h3>Answer: 16 square units</h3>

Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5

a^2 + b^2 = c^2

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x^2 = 25-9

x^2 = 16

x = sqrt(16)

x = 4

This is a 3-4-5 right triangle.

The height of the parallelogram is 4 units.

We have enough info to find the area of the parallelogram

Area of parallelogram = base*height

Area of parallelogram = 4*4

Area of parallelogram = 16 square units

Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.

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A grocery store clerk has 16 oranges, 20 apples, and 24 pears. The clerk needs to put an equal number of apples, oranges, and pe
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Step-by-step explanation:

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Answer: 1.75

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The geometry of the hybrid orbitals about a central atom with sp3d hybridization is:________
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For sp3d hybridized central atoms, the only possible molecular geometry is trigonal bipyramidal.

Hybridisation (or hybridization) is a process of mathematically combining two or more atomic orbitals from the same atom to form an entirely new orbital different from its components and hence being called as a hybrid orbital.

In this case, if all the bonds are in place, the shape is also trigonal bipyramidal.

In chemistry, a trigonal bipyramid formation is a molecular geometry with one atom at the center and 5 more atoms at the corners of a triangular bipyramid.

Bond angle(s): 90°, 120°

Coordination number: 5

Point group: D3h

For more information about orbitals, visit

brainly.com/question/25886221

#SPJ4

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2 years ago
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