Solve each equation. Show all your work. Round your answers to four decimal places. (a) 7^4x=10,(b)ln(2)+In(4x-1)=5

1 answer:

4 0

A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958

b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016

You might be interested in

Can someone please help me answer these 2 questions with a full explanation of how you got the answer so I can do the rest mysel

finlep [7]

(a) The measure of the indicated angle for figure 1 is 48⁰.

(b) The measure of the indicated angle for figure 2 is 42⁰.

<h3>Measure of the indicated angle</h3>

The measure of the indicated angles can be calculated as follows;

<h3>Figure 1</h3>

sinθ = opp/hypo

sinθ = 72/97

sinθ = 0.7423

θ = sin⁻¹(0.7423)

θ = 47.9⁰ ≈ 48⁰

<h3>Figure 2</h3>

sinθ = 65/97

sinθ = 0.6701

θ = sin⁻¹(0.6701)

θ = 42.1⁰ ≈ 42⁰

Learn more about angles here: brainly.com/question/25770607

#SPJ1

7 0

1 year ago

Read 2 more answers

huong and kathyrn each day impeoved their yards by planting rose bushes and ornamental grass. they bought their supplies from th

marta [7]

Answer:

One rose bush = $3

One bunch of ornamental grass = $4

Step-by-step explanation:

We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:

$14r+7g=70\\5r+14g=71$