Math, asked by jacobjohnson, 10 months ago

What is the solution to the equation below? Round your answer to two decimal places.

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Answers

Answered by rajsingh24

5

Answer:

$<marquee scrollamount=500>❤❤❤</marquee>$ $<marquee scrollamount=500> Hola!!!</marquee>$

$<body bgcolor="YELLOW">$ $\huge\underline\red{HOPE ..ITS... HELPS.. </p><p>}$

$<font color="green">$ .

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Answered by presentmoment

10

The solution to the equation is x = 5.66

Step-by-step explanation:

Given equation:

$4+4 \cdot \log _{2} x=14$

To solve this equation:

$4+4 \cdot \log _{2} x=14$

Subtract 4 from both sides of the equation.

$4+4 \log _{2}(x)-4=14-4$

$4 \cdot \log _{2} x=10$

Divide by 4 on both sides.

$$\frac{4 \log _{2}(x)}{4}=\frac{10}{4}$

$$\log _{2}(x)=\frac{5}{2}$

Using logarithmic function: $\text { If } \log _{a}(b)=c \text { then } b=a^{c}$

$$\log _{2}(x)=\frac{5}{2} \Rightarrow x=2^{\frac{5}{2}}$

$$x=2^{\frac{5}{2}}$

$$x=(2^5)^{\frac{1}{2} }$

Using radical rule: $a^{\frac{1}{2} }=\sqrt{a}$

$x=\sqrt{32}$

$x=\sqrt{16\times 2}$

$x=4 \sqrt{2}$

x = 5.66

The solution to the equation is x = 5.66

Option D is the correct answer.

To learn more...

1. Solve these logarithmic equation : log of n to the base 3 ➖ log of 4 to the base 3= 2

https://brainly.in/question/5692314

2. If log of x to the base 9 + log of x to the base 3 =3/2 then X is

https://brainly.in/question/12858998

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