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3 years ago

Which is the solution for log(4x-1)=log(x+1)+log2?

Mathematics

2 answers:

JulsSmile [24]3 years ago

4 0

Answer:

It's x=3/2

Step-by-step explanation:

Took it just now

Thepotemich [5.8K]3 years ago

3 0

Answer:

x = 1.5

Step-by-step explanation:

Solution

log(4x - 1) - log(x+1) = log2 log(x + 1) was subtracted from both sides
log[(4x - 1)/log(x+1)] = log2 Subtaction of logs means division
(4x - 1) / (x + 1) = 2 Take the antilog of both sides
4x - 1 = 2(x + 1) Remove the brackets
4x - 1 = 2x + 2 Add 1 to both sides
4x = 2x + 3 Subtract 2x
4x - 2x = 3
2x = 3 Divide by 2
x = 3/2 Answer

Check

Left Hand Side

log(4*1.5 - 1)
log(6 - 1)
log(5)

Right Hand Side

log(1.5 + 1) + log(2)
log(2.5) + log(2)
log2*2.5
log 5

And they check

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Find the volume and surface area of a sphere with radius 1 yards. Round your answer to two decimal places.

olga55 [171]

Answer:

Volume of the sphere up to two decimal places= $4.19$ cubic yards

Surface area of the sphere up to two decimal places $=12.56$ square yards

Step-by-step explanation:

Given:

The radius of the sphere= 1 yard

Volume of a Sphere:

$\frac{4}{3}* \pi *r^3$ : $\pi =\frac{22}{7} =3.14$

$=\frac{4}{3}*3.14*1*1*1$

$=4.187$ cubic yards

Volume of the sphere up to two decimal places= $4.19$ cubic yards

Surface area of the sphere= $4*\pi* r^2$

$=4*3.14*1*1$

Surface area of the sphere up to two decimal places $=12.56$ square yards

8 0

3 years ago

Is the answer 3, 4, 5, or 6? need answer asap please! :)

-BARSIC- [3]

Don't touch the center. It is already even.
Start anywhere by connecting a dotted line from one vertex to the next. To keep things so we know what we are talking about, go clockwise. Now you have 2 points that are Eulerized that were not before.

Skip and edge and do the same thing to the next two vertices. Those two become eulerized. Skip an edge and do the last 2.

Let's try to describe this better. Start at any vertex and number them 1 to 6 clockwise.
Join 1 to 2
Join 3 to 4
Join 5 to 6

I think 3 is the minimum.
3 <<<< answer

4 0

3 years ago

Given the building layout for Store A, Store B, Store

kifflom [539]

Answer:

$600

Step-by-step explanation:

2500+625+625+2500=6250

625/6250=.10 or 10%

6000 x .10=600

4 0

3 years ago

Simplify the expression 9x⁰y⁸ ____ z⁸

Olenka [21]

Anything raised to exponent 0 equals 1

$x^{0}=1$

So we get

$\frac{9 (1) y^8}{z^8} = \frac{9y^8}{z^8}$

3 0

3 years ago

Read 2 more answers

Number 5 ABC or D? Please help

RoseWind [281]

Answer:

Step-by-step explanation:

you want to solve it out

start with multiplying z to each. you don't multiply it to the 6 because it is in the same parenthesis set, but you multiply it to everything in the other set. After multiplying, you get: $2z^3$ , $3z^{2}$ , $5z$

now do that to the 6. After multiplying you get: $12z^{2}$ , $18z$ , $30$

now set it all next to each other $2z^3$ + $3z^{2}$ + $5z$ + $12z^{2}$ + $18z$ + $30$

now combine like terms. start with the to the highest power. since there is only one that has a third power, you put that one first. then you combine the squared ones, and so forth.

work combining the squares: $3z^{2} + 12z^{2} = 15z^{2}$

work combing the single z's: $5z + 18z = 23z$

to get this: $2z^3$ + $15z^{2}$ + $23z$ + $30$

so, the answer is D

4 0

3 years ago