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3 years ago

2log(2a - 1) = 0 How

Mathematics

1 answer:

Kryger [21]3 years ago

3 0

Answer:

Step-by-step explanation:

$2\log(2a-1)=0\\\\\text{Domain:}\\\\2a-1>0\qquad\text{add 1 to both sides}\\2a-1+1>0+1\\2a>1\qquad\text{divide both sides by 2}\\\dfrac{2a}{2}>\dfrac{1}{2}\\\boxed{a>0.5}\\============================\\\\2\log(2a-1)=0\qquad\text{divide both sides by 2}\\\\\dfrac{2\!\!\!\!\diagup\log(2a-1)}{2\!\!\!\!\diagup}=\dfrac{0}{2}\\\\\log(2a-1)=0\qquad\text{use}\ \log_ab=c\iff b=a^c\\\\\log(2a-1)=\log10^0\\\\\log(2a-1)=\log1\iff2a-1=1\qquad\text{add 1 to both sides}\\\\2a-1+1=1+1\\\\2a=2\qquad\text{divide both sides by 2}\\\\\dfrac{2a}{2}=\dfrac{2}{2}\\\\a=1\in D$

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Fiesta28 [93]

Answer:

ghhggjhgfuufdfyu?,redghuutdfguyrrwddfghvcftyhv

3 0

3 years ago

Please answer fast

dsp73

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!

5 0

3 years ago

Help please! Thankyou

Soloha48 [4]

Answer:

Thus, option A is correct.

Explanation:

match the proportions

$240,000 → 60%

x → 100%

set up a equation:

$\sf \dfrac{60}{100} = \dfrac{240,000}{x}$

$\sf x = \$400,000$

4 0

3 years ago

From $200 to $150. What is the percentage of decrease? A) 3% B) 25% C) 33% D) 50%

vekshin1

25% is the answer to the problem

4 0

4 years ago

Read 2 more answers

If AB = 8 and BC = 24, then AC = If AB = 17 and AC = 68, then BC =

Kryger [21]

Answer:

(i) The length of AC is 32 units, (ii) The length of BC is 51 units.

Step-by-step explanation:

(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

$AC = AB + BC$

If we know that $AB = 8$ and $BC = 24$ , then:

$AC = 8 + 24$

$AC = 32$

The length of AC is 32 units.

(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

$AC = AB + BC$

$BC = AC - AB$

If we know that $AC = 68$ and $AB = 17$ , then:

$BC = 68-17$

$BC = 51$

The length of BC is 51 units.

6 0

4 years ago