All categories

3 years ago

What is the solution of log2x − 6 (256) = 4?

Mathematics

2 answers:

timama [110]3 years ago

6 0

So D x= 5 is the right answer

Korvikt [17]3 years ago

5 0

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

$log_{2x-6}(256)=4$

This equation can be written as

$(2x-6)^{log_{2x-6}(256)}=(2x-6)^4$

$256=(2x-6)^4$ $[\because a^{log_ax}=x]$

Taking 4th root both sides.

$4=(2x-6)$

$4+6=2x$

$10=2x$

$5=x$

The value of x is 5.

Therefore correct option is D.

You might be interested in

Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work

Alexus [3.1K]

Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8

7 0

3 years ago

find the formula for a rational function that satisfies all of the following. its x-intercept is (-3,0). it has a vertical asymp

Norma-Jean [14]

Let that be

$\\ \rm\Rightarrow y=\dfrac{a(f(x))}{g(x)}$

Two vertical asymptotes at -1 and 0

$\\ \rm\Rightarrow y=\dfrac{a(f(x)}{x(x+1)}$

If we simply

$\\ \rm\Rightarrow y=\dfrac{a(f(x)}{x^2+1}$

Denominator has degree 2
Numerator should have degree as 2 and coefficient as 3 inorder to get horizontal asymptote y=3 means the quadratic equation should contain 3x²
But there should be a x intercept at -3 so one zeros should be -3

Find a equation