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3 years ago

Xlog5 - log125 = 0 solve for x. Asking for step by step answer.

Mathematics

1 answer:

Margarita [4]3 years ago

7 0

Step-by-step explanation:

$x log(5) - log(125) = 0 \\ log( {5}^{x} ) - log(125) = 0 \\ log( \frac{5x}{125} ) = 0 \\ \frac{ {5}^{x} }{125} = 1 \\ {5}^{x} = 125 \\$

$log( {5}^{x} ) = log(125) \\ x log(5) = log(125) \\ x = \frac{ log(125) }{ log(5) } = 3$

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djyliett [7]

Answer:

1 for $2.50

Step-by-step explanation:

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3 years ago

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svlad2 [7]

Answer:

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Step-by-step explanation:

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3 years ago

A decorative steel is shown and it is made of a circular section and 6 stems. The length of each stem is 45cm Work out the lengt

Lelechka [254]

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Step-by-step explanation:

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3 years ago

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OlgaM077 [116]

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Step-by-step explanation:

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3 years ago

A polygon is shown: A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clo

Mashcka [7]

Answer:

The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is <u>2</u> square units.

Step-by-step explanation:

We are given that a polygon MNOPQR is shown. The top vertex on the left is labeled M, and the rest of the vertices are labeled clockwise starting from the top-left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ.

The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.

Firstly, we will draw a perpendicular line from point O which meets the line RQ at point T. Now, the polygon MNOPQR is divided into two rectangles MNTR and OPQT.

As we know that the area of the rectangle = $\text{Length of rectangle} \times \text{Breadth of rectangle}$

In the rectangle MNTR, the length (MN) = 5 units and the breadth (MR) = 3 units.

So, the area of the rectangle MNTR = $\text{Length (MN)} \times \text{Breadth (MR)}$

= $5 \times 3$ = 15 square units

Now, as we know that in rectangle MNTR, the side NT = 3 units and the side NO is labeled as 2 units. This means that the side OT = NT - NO = 3 units - 2 units = 1 unit

Similarly, the side QR is labeled as 7 units and the side RT is labeled as 5 units. This means that the side TQ = QR - RT = 7 - 5 = 2 units

Now, in the rectangle OPQT, the length (TQ) = 2 unit and the breadth (OT) = 2 units.

So, the area of the rectangle OPTQ = $\text{Length (TQ)} \times \text{Breadth (OT)}$

= $2 \times 1$ = 2 square units

Hence, the area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is <u>_2_</u> square units.

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3 years ago