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Colt1911 [192]
3 years ago
10

What is the tru solution to the logarithmic equation below? Log4[log4(2x)]=1

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

\log_4(\log_42x)=1

Take both sides as powers of 4:

4^{\log_4(\log_42x)}=4^1\implies\log_42x=4

Do it again:

4^{\log_42x}=4^4\implies2x=(2^2)^4=2^8\implies x=2^7=128

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Step-by-step explanation:

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maksim [4K]
Let's solve your equation step-by-step.<span><span><span><span><span>− 14 </span>+ <span>6x </span></span>+ 7</span> −<span> 2x </span></span>=<span> 1 + <span>5x</span></span></span>
Step 1: Simplify both sides of the equation.<span><span><span><span><span>−14 </span>+ <span>6x </span></span>+ 7 </span>− <span>2x </span></span>=<span> 1 +<span> 5x</span></span></span><span>
Simplify: </span><span><span><span>4x - </span><span>7 </span></span>= <span><span>5x</span> + 1</span></span><span><span><span>4x</span> − 7</span>= <span><span>5x </span>+ 1</span></span>
Step 2: Subtract 5x from both sides.<span><span><span><span>4x</span> − 7</span> − <span>5x </span></span>= <span><span><span>5x </span>+ 1</span> −<span> 5x</span></span></span><span><span><span>− x </span>− 7 </span>=1 </span>
Step 3: Add 7 to both sides.<span><span><span><span>−x </span>− 7</span> + 7</span>=<span> 1+7</span></span><span><span>−x</span>=8</span>
Step 4: Divide both sides by -1.<span><span><span>‌<span><span>−x/</span><span>−1 </span></span></span>‌</span>=<span><span>‌<span> 8/<span>−1</span></span></span>‌</span></span><span>x=<span> −8</span></span>
Answer:<span>x= <span>−<span>8
hope this helps :)</span></span></span>
6 0
3 years ago
Salvador inherited $20,000 and he plans to invest it into a savings account that earns 6% interest compounded annually. Assuming
Alex787 [66]

Answer:

Step-by-step explanation:

initial value(1+ percent of interest in decimal form)^(years)

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7 0
2 years ago
SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
NARA [144]

ANSWER

Step 3

EXPLANATION

The given polynomial expression is:

2 {p}^{2}  - 3p - 7 - (3 {p}^{2}  + p - 5)

Fatau correctly expanded the parenthesis in the first step.

2 {p}^{2}  - 3p - 7 - 3 {p}^{2}   -  p  +  5

Fatau also correctly grouped the like terms to obtain:

(2- 3) {p}^{2}   + (- 3 - 1)p  + (- 7 +  5)

Fatau committed a mistake at the third step.

Instead of obtaining,

- {p}^{2} - 4p   - 2

He mistakenly got:

{p}^{2}    - 2p  +2

3 0
3 years ago
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