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Oksanka [162]
3 years ago
12

Can someone please do 1,2 and 3 please

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

1. x=−1 or x=−5

2. x=9 or x=−15

3.x=3 or x=−3

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Step by step workout of ;<br> log x^3+log 5x=5 log 2-log 2/5
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x = 2

Step-by-step explanation:

log  \: {x}^{3}  + log \: 5x = 5log \: 2 - log \:  \frac{2}{5}  \\  \\  \therefore \: log( {x}^{3}  \times 5x) = log  {2}^{5} - log \:  \frac{2}{5}  \\  \\ \therefore \: log( 5{x}^{4}) = log 32 - log \:  \frac{2}{5} \\  \\ \therefore \: log( 5{x}^{4}) = log  \bigg(32  \times  \frac{5}{2}  \bigg) \\  \\ \therefore \: log( 5{x}^{4}) = log  \bigg(16  \times  5) \\  \\ \therefore \: 5{x}^{4}=  16  \times  5 \\  \\ \therefore \: {x}^{4}=   {2}^{4}   \\  \\  \huge \purple{ \boxed{\therefore \: {x} = 2}}

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3 years ago
Please does anyone know the answer to this question
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Average speed 5 km/h traveled at average speed of 60 km/h. What is the total distance from home to school is 35 kilometers and i
ladessa [460]

Answer:

He spent 5km walking and 30km on the bus

Step-by-step explanation:

This is the complete question;

Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours.

How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

solution;

In this question, we have a student who journeyed by walking and also by using a bus, we are asked to calculate the number of kilometers traveled using both means.

We proceed as follows;

Firstly, let’s represent the number of kilometers he walked by x and the number of kilometers he traveled on the bus by y.

Mathematically;

x + y = 35 ••••••••••(i)

Now we know that total distance is 60km at a time of 1.5hours.

Total time = total distance/total time

Time taken to walk = x/5

Time used on the bus = y/60

Adding both will give the total time of 1.5 hours

x/5 + y/60 = 1.5

12x + y = 90 •••••••••(ii)

let’s subtract i from ii

11x =55

x = 55/11 = 5km

Recall x + y = 35

y = 35-5

y = 30km

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3 years ago
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