Logarithms Questions and Answers

What is the solution of the equation 3 + 5x = 7? Round your answer to the nearest ten-thousandth. 0.8614 1.1610 2.0969 3.2579

. Discuss what steps you are required to show when solving a logarithmic equation. Solve the logarithmic equation, showing all steps. In(5x + 9) - ln x = ln 6 l

Write log7 t using the natural logarithm. Note: When entering natural log in your answer, enter lowercase LN as "In". There is no "natural log" button on the Alta keyboard.

.Answer in the space provided: a) Determine the inverse of y = x b) Write loglog 9/loglog 4 as a single logarithm: c) Rewrite a-5 =1/a5 in logarithmic form: d) The exponential form of 5 = x is e) The asymptote ofy = -5 log log (2x - 6) + 4 is f) The asymptote of y=-1/2(3)-3x+12-1

Where is the x-intercept of 2 log(-3(x - 1)) - 4? Round values to 1 decimal place.

Using the Change-of-Base Formula for Logarithms Use the change-of-base formula to evaluate each expression as a quotient of logarithms. (Use a calculator to approximate each to three decimal places.) a. log₂ (25) = b. log5 (68) = c. log4 (3.75) = d. log(13/2)= e. log₁/9 (3.1) =

Condense each expression to a single logarithm using the properties of logarithms. a. log(6) +log(x) + log(y) = log() b. ln(9) — ln(x) — ln(8) = ln()

Use the one-to-one property of logarithms to solve. List all working and extraneous solutions. log6 (2n²-11n) = log 6(-18 + n²) (Use commas to separate multiple answers, or type "NONE" if appropriate.) Solution(s): n = Extraneous: n # Note: You can earn partial credit on this problem.

Solve the equation for a. List all working and extraneous solutions. log(x+15) = log(x) + log(15) (Use commas to separate multiple answers, or type "NONE" if appropriate.) Solution(s): x= Extraneous: x≠

Use the properties of logarithms to expand each logarithm. (When possible, select "-" from the dropdown, instead of entering a negative number.) a. log, (14 - 18y) = log()log() b. ln(x/13 /y )= ln () ln () ln()

Solve the exponential equation. Express the solution in terms of natural logarithms or common logarithms. Then use a calculator to obtain a decimal approximation for the solution. 10^x = 2.99 The solution set expressed in terms of logarithms is (Use a comma to separate answers as needed. Simplify your answer. Use integers or decimals for any numbers in the expression. Use In for natural logarithm and log for common logarithm.) Now use a calculator to obtain a decimal approximation for the solution. The solution set is. (Use a comma to separate answers as needed. Round to two decimal places as needed.)

What is the best first step for solving the following equation? e^3x-1 = 19 Choose the correct answer below. A. Use the product rule for exponents. B. Take the common logarithm on each side. C. Change to exponential form. D. Write the sum of logarithms as the logarithm of a product. E. Take the natural logarithm on each side. F. Let u = ex and write the equation in quadratic form.

In a = -bc+In d In order to solve the equation above for c, you must: Add the same expression to each side of the equation to leave the term that includes the variable by itself on the right-hand side of the expression: ____+In a =____ -be+Ind

Find the solution to the equation: 10 . 5^x =15 Select one: x=log 5(1.5) x=log 5 (15) x = log10 (3) x = log10 (1/3)

Solve the equation by rewriting the exponential expression using the indicated logarithm. Then use a calculator to approximate the variable to 3 decimal places. 5^4x+2 = 38 using the common log.

Convert to a logarithmic equation. 16^1/4 = 2

Convert to an exponential equation. log 0.0001 = - 4 The equivalent equation is ______ (Type in exponential form.)