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Kisachek [45]
3 years ago
5

Solve the logarithmic equation . Round the answer to four decimal places . 2^x =25

Mathematics
2 answers:
levacccp [35]3 years ago
8 0

Answer:

x = 4.6439

Step-by-step explanation:

2^x =25

Take the log of each side

log  2^x = log 25

We know that log a^b = b log a

x log 2 = log 25

Divide each side by log 2

x = log 25  / log 2

x =4.643856

Rounding to 4 decimal places

x = 4.6439

Korvikt [17]3 years ago
4 0

Answer:

x = 4.6439

Step-by-step explanation:

2^{x}  =25log  2^x = log 25\\log 2 = log 25x = log 25  / log 2\\x =4.643856\\x = 4.6439

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PLEASE HELP FAST!!!!!
lakkis [162]

Answer:

< W  ≅ < P.

Step-by-step explanation:

< W  ≅ < P.

< W is the refection of < P over the x-axis.

7 0
3 years ago
(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13
jolli1 [7]

Answer:

y(x)=3e^{5x}-2xe^{5x}

Step-by-step explanation:

The given differential equation is y''-10y'+25y=0

The characteristics equation is given by

r^2-10r+25=0

Finding the values of r

r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5

We got a repeated roots. Hence, the solution of the differential equation is given by

y(x)=c_1e^{5x}+c_2xe^{5x}...(i)

On differentiating, we get

y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)

Apply the initial condition y (0)= 3 in equation (i)

3=c_1e^{0}+0\\\\c_1=3

Now, apply the initial condition y' (0)= 13 in equation (ii)

13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2

Therefore, the solution of the differential equation is

y(x)=3e^{5x}-2xe^{5x}

5 0
3 years ago
The following frequency table summarizes yesterday's orders at Sizzlin' Skillets.
Arlecino [84]

Answer:

the probability that the ext order will be shrimp = 27.78%

Step-by-step explanation:

Vegetable 333

Chicken 666

Pork 222

Beef 222

Shrimp 555

total = 1,998

P (shrimp) = 555 / 1,998 =  0.2777 or 27.78%

in case the numbers in the orders were:

Vegetable 3

Chicken 6

Pork 2

Beef 2

Shrimp 5

total = 18

P (shrimp) = 5 / 18 =  0.2777 or 27.78%

The probability of an event happening is just the number of times that event occurred divided by the total number of events that took place.

6 0
3 years ago
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I only need the answers to b and c, no work is needed thank you
Mashcka [7]
Roots: 3 & -2
Factors: (x-3) & (x+2)
Quadratic Equation formed: (x+2)(x-3)= x^2-3x+2x-6= x^2-x-6
7 0
3 years ago
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Can someone tell me a easy way how to solve this problem ?
zlopas [31]
I believe its the first one because you can divide the H and pi which would be V/h×pi then you square root r2 and v/h×pi so r= square root of V/H×pi
6 0
3 years ago
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