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docker41 [41]
2 years ago
11

4^x-3=6 please help

Mathematics
1 answer:
SashulF [63]2 years ago
3 0
4^{x+3}=6\ \ \ \ |\log_4\\\\\log_44^{x+3}=\log_46\ \ \ |\text{Use}\ \log_ab^n=n\log_ab\\\\(x+3)\log_44=\log_46\ \ \ \ |\text{Use}\ \log_aa=1\\\\x+3=\log_46\ \ \ |-3\\\\x=\log_46-3\ \ \ \ |\text{Use}\ b=\log_aa^b\\\\x=\log_46-\log_44^3\\\\x=\log_46-\log_464\ \ \ |\text{Use}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\x=\log_4\dfrac{6}{64}\\\\x=\log_4\dfrac{3}{32}
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3/8 + 1/4 = Tap on the pic to see wiestion
Radda [10]

Answer:

3/8 + 1/4 is 5/8 and 1/10+4/5 is 1

Step-by-step explanation:

convert 1/4 to 2/8 and add to 3/8 to get 5/8

convert 4/5 to 9/10 and add to 1/10 equals 10/10 which is also 1

6 0
2 years ago
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the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years​
Yuliya22 [10]

Answer:  125 g

<u>Step-by-step explanation:</u>

A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k

\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125

8 0
3 years ago
H -7/J = k solve for J
Elina [12.6K]

Answer:

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3 years ago
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grandymaker [24]
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8 0
3 years ago
Convert 124/10 into a mixed number
serious [3.7K]
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It can go in 12 times right?

12 is your whole number.

The four is still left and it is going to stay there.  So right now you have:
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4/10 can be simplified by dividing it by 2.

This leaves you with 2/5

Your answer is 12 and 2/5
6 0
2 years ago
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