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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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Step-by-step explanation:

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2 years ago

Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len

Rama09 [41]

The length of a curve C parameterized by a vector function r(t) = x(t) i + y(t) j over an interval a ≤ t ≤ b is

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In this case, we have

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and [a, b] = [0, 2]. The length of the curve is then

$\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt$

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$=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt$

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3 years ago

Isaac creates a scatter plot showing the association between the height and weight of his male

Black_prince [1.1K]

Answer:

Step-by-step explanation:

Given

w is the classmate's weight in pounds

h is the height

The general formula for the expression is y = MX+c where

m is the slope

c is the intercept

M is the change in y to change in x

Comparing with the given equation

w = 6.5h - 275, we will see that the slope of the equation is 6.5 and can be expressed as the change in the classmate's height to the classmate's weight

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