Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2(3x+5) in the opposite side. The equation will now be log2x-log2(3x+5)=4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10)=4. Then transform the equation into base form 10^4=(2x/6x+10) and proceed in solving for x value which is equal to 1.667.

3 0

3 years ago

Read 2 more answers

Who can help me ????.<br>instruction find the missing length.

djverab [1.8K]

Answer:

19 is the answer i think.

7 0

3 years ago

One number is five less than a second number. Three times the first is 14 more than 4 times the second. Find the numbers.

Evgen [1.6K]

Answer:

Second number = -29

First number = -34

Step-by-step explanation:

Second number = x

First number = x - 5

3*(x-5) = 4x + 14

3x - 3*5 = 4x + 14

3x - 15 = 4x + 14

-15 = 4x +14 - 3x

-15 = x + 14

-14 - 15 = x

x = -29

Second number = -29

First number = -29 - 5 = -34

8 0

2 years ago

Help with 8 and 9??? Please help me out! Correct answers please

Ipatiy [6.2K]

Answer:

8. (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)

9. f(g(x)) = 4x/(1+6x)

Step-by-step explanation:

8. For f(g(x)) to be defined, g(x) must be defined and f(g(x)) must be defined.

g(x) will be defined for all x≠0. f(g(x)) will be defined for g(x)≠4. Solving g(x)=4, we find the value of x is 1/3. (The answer choices give a clue.)

So, the domain of f(g(x)) is all x that is not 0 or 1/3. Only one answer choice makes those particular exclusions:

(-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)

9. Substituting the definition of g(x) into the expression for f(x), we get ...

$\displaystyle (f\circ g)(x)=f(g(x))=\frac{2}{g(x)+3}=\frac{2}{\frac{1}{2x}+3}\\\\=\frac{2}{\left(\frac{1+6x}{2x}\right)}\\\\(f\circ g)(x)=\frac{4x}{1+6x}$

4 0

3 years ago