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saul85 [17]
3 years ago
13

What is the true solution to the equation below? 2 In e^In2x -In e^In10x = In 30

Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

The\ domain.\\D:x\in\mathbb{R^+}\\\\2\ln e^{\ln2x}-\ln e^{\ln10x}=\ln30\ \ \ |use\ \log_ab^n=n\log_ab\\\\2\ln2x\ln e-\ln10x\ln e=\ln30\ \ \ \ |use\ \log_aa=1\\\\2\ln2x-\ln10x=\ln30\ \ \ |use\ n\log_ab^n=\log_ab^n\\\\\ln(2x)^2-\ln10x=\ln30\\\\\ln4x^2-\ln10x=\ln30\ \ \ |use\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\ln\dfrac{4x^2}{10x}=\ln30\\\\\ln\dfrac{2x}{5}=\ln30\iff\dfrac{2x}{5}=30\ \ \ \ |\cdot5\\\\2x=150\ \ \ \ |:2\\\\x=75\in D

Answer: x = 75

andrey2020 [161]3 years ago
6 0

Answer:

75

Step-by-step explanation:

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If you know please help me I’m stuck.
MAVERICK [17]

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2 years ago
A bus has three passengers Crew Marty Blakely. Marty's age is 1.5 times Crew's age. Blakely's age is 0.75 times crew's age. If t
Ugo [173]

The ages of the crew, Marty and Blakeley are 32 years, 48 years and 24 years respectively.

<h3>Algebra</h3>

  • Crew's age = x
  • Marty's age = 1.5x
  • Blakely's age = 0.75x

  • Total ages = 104

Total = crew's age + Marty's age + blakely's age

104 = x + 1.5x + 0.75x

104 = 3.25x

x = 104 ÷ 3.25

x = 32 years

Therefore,

Crew's age = x

= 32 years

Marty's age = 1.5x

= 1.5(32)

= 48 years

Blakely's age = 0.75x

= 0.75(32)

= 24 years

Learn more about algebra:

brainly.com/question/4344214

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3 0
1 year ago
I also need help with this
Dimas [21]

Answer:

7 strips

Step-by-step explanation:

One way we can solve this is through guess and check. Let's start with 4 strips. If Joe's grandma makes 4 strips, she will have 0.75*4 = 3.00 yards of fabric. That's a really low amount of fabric. Let's double that to 8, where Joe's grandma would need 0.75*8 = 6.00 yards of fabric. That's really close! Let's remove one strip. 0.75*7 = 5.25 yards of fabric. Perfect! Joe's grandma can cut exactly 7 strips

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3 years ago
C. You filled your car tank with gas at the beginning of the trip. At the start of
DochEvi [55]

Answer:

164

Step-by-step explanation:

6 0
3 years ago
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