$MathMaster logo$

MathMaster

Home
general
solve the following equation for x in exact form and then find the value to the nearest hundredths make sure to show your

Question

Solve the following equation for x in exact form and then find the value to the nearest hundredths (make sure to show your work): 5e3x – 3 = 25

258

likes

1288 views

Answer to a math question Solve the following equation for x in exact form and then find the value to the nearest hundredths (make sure to show your work): 5e3x – 3 = 25

$Expert avatar$

4.5

112 Answers

To solve the equation 5e^(3x) - 3 = 25 for x, we first add 3 to both sides of the equation to get: 5e^(3x) = 28 Next, we divide both sides by 5 to isolate e^(3x): e^(3x) = 28/5 To solve for x, we take the natural logarithm of both sides of the equation: ln(e^(3x)) = ln(28/5) Using the property of logarithms that ln(e^a) = a, we can simplify the left side of the equation: 3x = ln(28/5) Finally, we divide both sides by 3 to solve for x: x = (1/3)ln(28/5) Using a calculator, we can evaluate this expression to two decimal places: x ≈ 0.77 Therefore, the solution to the equation 5e^(3x) - 3 = 25 is x ≈ 0.77

Frequently asked questions (FAQs)

What is the axis of symmetry of the quadratic function y = 2x^2 - 5x + 3?

+

What is the equation of a logarithmic function that passes through points (1, 3) and (4, 5)?

+

Math question: If the sine of an angle is 0.8, what is the value of its cosine?

+

New questions in Mathematics

(5u + 6)-(3u+2)=

(2x+5)^3+(x-3)(x+3)

A National Solidarity Bond offers A 5 year bond offering a gross return of 15% Calculate the AER for this investment. (Give your answer to two decimal places, no need for the percent or € sign in your answer)

If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.

A person borrows rm 1000 from a bank at an interest rate of 10%. After some time, he pays the bank rm 1900 as full and final settlement of the loan. Estimate the duration of his loan.

Convert 78 percent to a decimal

A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 60% of the people get vaccinated. If a person is selected at random from this region, find the probability that he or she will contract the disease. (4 Points)

4+168×10³×d1+36×10³×d2=-12 -10+36×10³×d1+72×10³×d2=0

Congratulations, you have saved well and are ready to begin your retirement. If you have $1,750,000.00 saved for your retirement and want it to last for 40 years, and will earn 10.8% compounded monthly: What is the amount of the monthly distribuion? 216.50 How much interest is earned in retirement?

A company made 150,000 in the first year 145,000 in the second 140,000 in the third year successively during the first decade of this company's existence it made a total of

Write the detailed definition of a supply chain/logistics related maximization problem with 8 variables and 6 constraints. Each constraint should have at least 6 variables. Each constraint should have At least 5 variables will have a value greater than zero in the resulting solution. Variables may have decimal values. Type of equations is less than equal. Numbers and types of variables and constraints are important and strict. Model the problem and verify that is feasible, bounded and have at least 5 variables are nonzero.

You buy a $475,000 house and put 15% down. If you take a 20 year amortization and the rate is 2.34%, what would the monthly payment be?

A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625

Gender and communication : Answer the question ( 1 paragraph is ok) . Please can you write about women? Compared to your other identities, how much of a role does gender play in your life? And has your own sex/gender offered you privileges or disadvantages? How so?

Triangle ABC has AB=AC and angle BAC =X, with X being less than 60 degrees. Point D lies on AB such that CB = CD Point E lies on AC such that CE= DE Determine angle DEC in terms of X

Slope (7,3) and (9,5)