2ln(5x)=8 solve for x

2 answers:

8 0

$lnx=log_ex\\----------\\log_ab=c\iff a^c=b\\----------\\Domain:\\5x > 0\ \ \ |divide\ both\ sides\ by\ 5\\x > 0\\D:x\in\mathbb{R^+}\\----------------------\\2ln(5x)=8\ \ \ \ |divide\ both\ sides\ by\ 2\\\\ln(5x)=4\iff e^4=5x\\\\5x=e^4\ \ \ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{x=\frac{e^4}{5}\in D}$

Yakvenalex [24]3 years ago

5 0

2ln(5x)=8

ln(5x) = 4

e^4 = 5x

x = (e^4) / 5

You might be interested in

Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed? Check all that appl

dem82 [27]

1,3,and 4 because for 1 and 3 if you factor it out you can get (x+3)(x-7) which if you solve it it creates them to be -3 and 7. The 4 one is already factored you just solve it and it also becomes -3 and 7. The - outside the parentheses is nothing.

4 0

3 years ago

Read 2 more answers

Please help me ......:(

algol [13]

Answer: B) F(x) = √x and G(x) = 3x + 2

Step-by-step explanation:

The composite function G(F(x)) is when you replace every x-value in the G(x) function with the F(x) function.

$A)\ G(3x+2) = \sqrt{3x+2}\\\\B)\ G(\sqrt{x})=3(\sqrt{x})+2\quad =3\sqrt{x}+2\\\\C)\ G(\sqrt{x}+2) = 3\quad \text{there are no x-values in the G(x) function to replace}\\\\D) G(3\sqrt{x})=2\quad \text{there are no x-values in the G(x) function to replace}$

The only one that matches G(F(x)) = 3√x + 2 is OPTION B

5 0

4 years ago

Please show steps to answer

Schach [20]

I hope this helps you

3 0

3 years ago

Which of the following shows that ABCD is a parallelogram for x=6 and y =8? (20 points)

Reika [66]

Answer:

AB = CD = 44 and BC = AD = 31 ; so ABCD is a parallelogram

Step-by-step explanation:

A parallelogram should have two pairs of parallel sides meaning the length of side AB should be the same as the length of side CD and the length of side AD should be the same as the length of side BC.

First, lets see if line AB is parallel to line CD.

Let's start by finding out the length of line AB.

Since we know x = 6 we will replace x with 6 in the expression:

7(6) + 2 = 42 + 2 = 44

Now that we know the length of line AB is 44, lets find the length of line CD by replacing x with its value of 6:

9(6) - 10 = 54 - 10 = 44

Now that we know the length of line CD is 44, we can see that line AB is parallel to line CD since they both have the same length of 44.

Now, lets see if line BC is parallel to line AD.

Let's start by finding out the length of line BC.

Since we know y = 8 we will replace y with 8 in the expression:

3(8) + 7 = 24 + 7 = 31

Now that we know the length of line BC is 31, lets find the length of line AD by replacing y with its value of 8: