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TEA [102]
3 years ago
8

How to solve x using logarithms

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
6 0

Step-by-step explanation:

\frac{1}{2}  log(x)  +  log(4)  = 2

then

log( {x}^{ \frac{1}{2} } )  +  log(4)  = 2 \\ log(4 \sqrt{x} )  = 2 \\ 4 \sqrt{x}  =  {10}^{2}  = 100 \\  \sqrt{x}  = 25 \\ x =  {25}^{2}  = 625

I don't know if your Log is natural logarithm then

4 \sqrt{x}  =  {e}^{2}  \\ \sqrt{x}  =  \frac{e ^{2} }{4}  \\ x =  \frac{ {e}^{4} }{16}

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The amount of money on account it makes M for working H hours can be represented by the equation m = 29.4H what is the constant
ELEN [110]
29.4H is the equation
4 0
2 years ago
Radio tower had a special on rechargeable batteries. It sold AA for $1 and AAA for $0.75. It sold 42 batteries on a single day a
PIT_PIT [208]
AA = $1
AAA= $0.75

AA + AAA = 42

$1AA + $0.75AAA= $37

AA + AAA = 42
AA + AAA-AAA= 42- AAA
AA = 42- AAA

$1(42- AAA) + $0.75AAA= $37
$42 - AAA +0.75AAA = $37
$42 -0.25AAA= $37
$42-$42 -0.25AAA= $37 -$42
-0.25AAA= -5
-0.25AAA/-0.25 = -5/-0.25
AAA= 20

AA + AAA= 42
AA + 20 = 42
AA +20 -20 = 42-20
AA= 22

Check
$1AA + $0.75AAA= $37
$1(22)+ $0.75(20)= $37
$22 + $15 =$37
$37 = $37


5 0
3 years ago
Which statement is true about the domain of y = 3(2^-x)? Explain.
SVEN [57.7K]
We want to determine the domain of {y=3 \cdot 2^{-x}=3 \cdot ({2^{-1}})^x=3 \cdot ({ \frac{1}{2}})^x

any function of the form y=f(x)=a \cdot b^x is called an "exponential function",
the only condition is that b is positive and different from 1, and a is a nonzero real number.

The domain of such functions is all real numbers.

That is for any x, the expression <span>3(2^-x) "makes sense".



Answer: </span><span>The domain is all real numbers</span>
8 0
3 years ago
To be considered as a menu item for Gloria's new restaurant an item must have scored in the top 15% by the food critics in the a
vladimir1956 [14]

Answer:

Lowest score needed=4.92

Step-by-step explanation:

Using the standard normal distribution table we find the value of standard normal deviate corresponding to area of 15%

For area of 15% we have Z= -1.04

Thus we have

Z=\frac{X-\overline{X}}{\sigma }\\\\\therefore X=\sigma Z+\overline{X}\\\\

Applying values we get

X=-1.04\times 2+7\\\\X=4.92

Thus lowest score needed = 4.92

3 0
3 years ago
Find the value of x!!!!!
tino4ka555 [31]

Answer:

96 degrees

Step-by-step explanation:

The 144 degrees is on a straight line, meaning the angle next to it inside the triangle and 144 are supplementary. They add up to 180 degrees.

Coincidentally, the other two angles plus the third, unlabeled angle will add up to 180 degrees as well, meaning that the the 48+x = 144 degrees (according the property of equality, which is if a=b and b=c, then a=c). Solve for x from there:

x = 144-48

x = 96

7 0
3 years ago
Read 2 more answers
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