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Vinvika [58]
4 years ago
11

How do I solve ln(3x-5)=ln11+ln12

Mathematics
1 answer:
vladimir2022 [97]4 years ago
3 0

Answer:

\large\boxed{x=\dfrac{137}{3}}

Step-by-step explanation:

\text{Use:}\\\\\ln a+\ln b=\ln(ab)\\\\\ln a=\ln b\Rightarrow a=b\\-------------\\Domain:\\\\3x-5>0\qquad\text{add 5 to both sides}\\\\3x>5\qquad\text{divide both sides by 3}\\\\x>\dfrac{5}{3}\\-----------------\\\\\ln(3x-5)=\n11+\ln12\\\\\ln(3x-5)=\ln(11\cdot12)\\\\\ln(3x-5)=132\iff3x-5=132\qquad\text{add 5 to both sides}\\\\3x=137\qquad\text{divide both sides by 3}\\\\x=\dfrac{137}{3}

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Step-by-step explanation:

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Sometimes their solutions, if they have one, do.

Here are three equations whose solutions are 36 :

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Temperature affects the speed of sound. The speed (v) of sound near Earth's surface, in
Bingel [31]

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The temperature in degrees Celsius is <em>-48°C </em>.

Step-by-step explanation:

The given equation is:

v = 20√[t + 273]

Therefore, rearranging we get:

(v / 20)² = t + 273

t = (v / 20)² - 273

but the speed of sound, v, is equal to 300 m/s

Therefore,

t = (300 / 20)² - 273

<em>t = -48°C</em>

<em></em>

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8 0
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Help me -2 (8 - e) = 2 - e​
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Answer:

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Step-by-step explanation:

Step 1: Write equation

-2(8 - e) = 2 - e

Step 2: Solve for <em>e</em>

  1. Distribute -2: -16 + 2e = 2 - e
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  3. Add 16 to both sides: 3e = 18
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Step 3: Check

<em>Plug in e to verify it's a solution.</em>

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