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earnstyle [38]
3 years ago
13

Solve 4x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.

Mathematics
2 answers:
Arisa [49]3 years ago
8 0
The answer is 3.5
You can just stick with a 2 step equation method and it would work.
Oksana_A [137]3 years ago
4 0

Answer:

x=2.5

Step-by-step explanation:

We have,

4x+2=12

\implies4x=10

Taking log both the sides we have,  

log\,4x=log\,10

\implies log\,4 + log\,x=log\,10 \left\:\: [ \because log\,ab = log\, a + log\, b\right ]

\implies log\,x=log\,10 -log\,4

\implies log\,x={ log\,(\frac{10}{4}) \:\:\left [\because log\,a -log\,b= log\,\frac{a}{b} \right ]

\implies log\,x=log\,2.5

\implies \frac{log\,x}{log\,2.5}=1

\implies log_{(2.5)}\, x=1\:\:\left [ \because log_{b}\,a=\frac{log\,a}{log\,b} \right ]

\implies x=(2.5)^{1}\:\: [ \because log_{b}\,a=m \implies a=b^{m} ]

Hence, we have x=2.5

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Lunna [17]
Your answer you need is D
7 0
3 years ago
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A race walker completed a 13 mile walk in 2.5 hours. What is the walker's speed per hour?
Viktor [21]

Answer:

5.2mph

Step-by-step explanation:

Speed =distance/time

13/2.5=5.2 mph

4 0
2 years ago
Blank divided by 7>800
djverab [1.8K]
Hi there

Replace the blank space by x

so x/7 > 800
All you have to do is cross-multiply

x > 7*800
x> 5600


I hope that's help ! 

8 0
2 years ago
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A dieter believes that the average number of calories in a homemade peanut better cookie is more than the average number of calo
zalisa [80]

The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

Xbar is the mean

Z is the z value

S is the standard deviation

N is the number of samples

 

So our given are:

90% confidence interval with a z value of 1.645

Sample size 40, 45

Mean 180, 179

Standard deviation 2, 4

 

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

= 179.48, 180.52

For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

<span>= 179 ± 1.645 (0.596284794)</span>

therefore, the answer is letter b

8 0
3 years ago
An someone help please and thx:) !
olganol [36]

Answer:

x = 29

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 17 + 2x + 5 + 3x - 16 = 180

6x + 6 = 180

6x = 180 - 6

6x = 174

x = 29

3 0
3 years ago
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