Question: Assume that b > 0 and b 1. Show that log 1/b x = - log b x.

Assume that b > 0 and b ≠ 1. Show that log1/b x = - logb x.

Step by Step Solution

★★★★★

3.32 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

ANSWER To prove the given equality well start by using t... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus 1st Questions!

Q:

A GT cell will machine the components for a family of parts. The parts come in several different sizes and the cell will be designed to quickly change over from one size to the next. This will be...

Q:

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1 and 2. On September 1, Irene opened a retail store that specializes in sports car...

Q:

Assume that x (t) = b cos (w0t) = u (t) is a solution of the van der Pol Equation 4.19. Assume that the damping parameter is small and keep terms in u (t) to first order in . Show that b = 2a and u...

Q:

Use log, 2 ~0.401, log, 3 ~0.621, and log, 5 ~0.827 to approximate the value of the given logarithm to 3 decimal places. Assume that b > 0 and b #1. log, 16 ~ X

Q:

Use log, 2 ~ 0.323, log, 3 ~0.548, and log, 7 ~ 1.034 to approximate the value of the given logarithm to 3 decimal places. Assume that b > 0 and b # 1. log 14 ~ X

Q:

Use log, 2 ~ 0.32, log, 5 ~0.787, and log, 7 ~ 1.079 to approximate the value of the given logarithm to 3 decimal places. Assume that b > 0 and b # 1. 35 X 10gb 2 G

Q:

Each question in Part D is worth 1 mark. Questions in Part D may be either multiple-choice, numerical-response, or written response. 19. Simplify the following expression. Show all your work. * 1...

Q:

OA If b 0 and b 1 then c If b 0 and b 1 then d X OB If b 0 and b 1 thenx logbx Inb OD If b 0 and b 1 then d d dx logbx x in b for x 0 and dx logplx x Inb forx 0 dx d dx OB log bx OA 108x x Inx b dx x...

Q:

Question: Over a very long period of time, it has been noted that on Friday's 25% of the customers at the drive-in window at the bank make deposits. What is the probability that it takes 4 customers...

Q:

6. Find the most popular health center(s) (in orders up-to-date. Problem 3 (40 points) Let {X, } be any sequence of random variables. Let Yr = _ EF, X,. A necessary and sufficient condition for the...

Q:

SFAC No. 8 identifies the qualitative characteristics that make accounting information useful. Presented below are a number of questions related to these qualitative characteristics and underlying...

Q:

Summerville Processing Company provides word-processing services for business clients and students in a university community. The work for business clients is fairly steady throughout the year. The...

Q:

Visit the website of the Pew Research organization at www .pewresearch.org. Read todays top story. What type of data source is the top story based on?

Q:

5. define task and social cohesion,

Q:

Provide a measure of association between bone density of the lumbar spine and bone density of the femoral neck? Table 11.25: Change in bone density, femoral neck, over time Bone density, femoral neck...

Q:

Provide a 95% CI corresponding to the measure of association obtained in problem 11.82? Table 11.25: Change in bone density, femoral neck, over time Bone density, femoral neck (g/cm) (y) Time from...

Q:

Assess whether there is a significant relationship between bone density of the lumbar spine and bone density of the femoral neck. Please provide a two-tailed p-value? Table 11.25: Change in bone...

Q:

Ratio of Liabilities to Stockholders' Equity and Times Interest Earned The following data were taken from the financial statements of Hunter Inc. for December 31 of two recent years: Current...

Q:

Residual Income and Investment Decisions Allard, Inc., presented two years of data for its Frozen Foods Division and its Canned Foods Division. Frozen Foods Division: Year 1 Year 2 Sales $35,700,000...

Q:

Exercise 8-12 (Part Level Submission) Ivanhoe Company was formed on December 1, 2016. The following information is available from Ivanhoes inventory records for Product BAP. Units Unit Cost January...