Question: Show that log a (1/N) = log a N, where a and N are positive real numbers and a 1.

Show that loga (1/N) = −loga N, where a and N are positive real numbers and a ≠ 1.

Step by Step Solution

★★★★★

3.36 Rating (143 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To show that loga1N logaN where a and N are positive real numbers an... 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 Questions!

Q:

Show that log a m = log a m 2 , where a and m are positive real numbers and a 1.

Q:

Transformer taps are used to Oa improve overall impedance b. limit secondary current flow Cc. reduce total circuit losses d.create different voltage levels

Q:

Economists use demand functions to describe how much of a commodity can be sold at varying prices. For example, the demand function D(p) = 500 - 10p says that at a price of p = 10, a quantity of...

Q:

We are given a set S of n items with weights specified by positive real numbers w i , i =1..n, and a truck with load weight capacity specified by a positive real number L. We want to load the truck...

Q:

Let f ( n ) = 1 0 0 n c and g ( n ) = n d for all positive integers n , where c and d are positive real numbers with f = o ( g ) g o ( f ) c . Show that f = o ( g ) . Show that g o ( f ) .

Q:

6.2 properties of logarithms expand the given log rhythm and simplify assume when necessary that all quantities represent positive real numbers log base of 2 ( 128/x^2+4)

Q:

1.16 Express the following in partial fraction form: (a) 2x' - 5x + 1 ( b ) x' +x - - 2x - x2 + x- 1.17 Rearrange the following functions in partial fraction form: x - 6 ( b ) x3 + 3x3 + x+ 19 (a) x3...

Q:

11. Find the following using a calculator. Round to four decimal places. (5 points) log 0.55 O -0.5978 O -0.2596 O -0.0978 O -0.7596 12. Assuming all variables are positive, use properties of...

Q:

l. (1 point) Suppose the function f is continuous on the closed interval [1,2], f(1) = 5, and f(2) = 9. Then, from the Intermediate Value Theorem we can conclude that...(select all that apply) o A....

Q:

MA3310 Project Project Topic List Topic: Numerical differentiation Topics and skills: Derivatives, calculator While the rules of differentiation allow us to compute the derivative of just about any...

Q:

Which of the following pairs of total body radiation effects and approximate threshold dose is CORRECT? A. Gastrointestinal syndrome 2 Gy B. Cerebrovascular syndrome 5 Gy C. Hematopoietic syndrome ...

Q:

Contingencies Presented below are three independent situations. Answer the question at the end of each situation. 1. During 2010, Maverick Inc. became involved in a tax dispute with the IRS....