Question
Prove that the number log, 13 is irrational. Recall that log, a = x means that bª = a.
Expand
Transcribed Image Text

Prove that the number log, 13 is irrational. Recall that log, a = x means that bª = a.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Advanced Math

Other

Related Advanced Math Q&A

Find answers to questions asked by students like you.

Q: [Linear Algebra] How to solve a)?

A: R is rotated counter clockwise by the angle of 5π6. So, θ=5π6.

Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector f...

A: We are given thatthe velocity vector field for river is  v = < x - y, z + y + 7, z2 >and the n...

Q: Finite Mathematics

A: From Venn Diagram,    

Q: Given below is the principal owed on a student loan last month, the annual interest rete, and the wa...

A: Given information Principal P=$28,700 Annual interest rate r=12% ⇒r=12100=0.12 And month for calcula...

Q: Two fractions with unlike denominators are subtracted below. Determine the values of B, C, and D and...

A: Given that 27-103=2×3-10×B7×3=-ECD The objective is to find the values of B, C, D, and E.

Q: using the assignment model solve question 3 in the given image

A: Click to see the answer

Q: Consider the function f(x) = 2x³ + 24x² – 120x + 5, - 10 < r < 3. This function has an absolute mini...

A: f(x)=2x3+24x2-120x+5Differentiate w.r.to xf'(x)=6x2+48x-120f"(x)=12x+48 Now, f'(x)=0⇒6x2+48x-120=0⇒x...

Q: Let B1, ... , Bn be independent events. Show n n P(ÜB.) = 1- T1c (1— Р(B,)). i=1 1=1

A: P∪I=1nBi=1-∏i=0n1-PBi For n =1             R.H.S=1-(1-PB1)=1-1+PB1=PB1=L.H.S For n = 2         R.H.S...

Q: Find the inverse Laplace transform of 78 +8 8 > 0 s2 + 15 y(t)

A: Click to see the answer

Q: Part B

A: Pointwise convergent:- A sequence of function is pointwise convergent, if its every point sequence i...

Q: Approximate the area of the region bounded f(t) = cos(t/2-3x/4) 1- by the graph of f(t) = cos (t/2-3...

A: The equation of the given curve is ft=cost2-3π4 and the interval 3π4,7π4. The required number of sub...

Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window. 4....

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: 14 - BIU 343.4 +5.607%3D 800.54 + 90.52%3D 809.144 15.963D 94.9 41.871%3D 767.3 24.9 = 803.309 133.3...

A: This is addition and substraction of two numbers.  

Q: Mathematics

A: Click to see the answer

Q: (a) A town has a population of 5000 persons, but is expected to grow by 2% every year.(i) What wound...

A: Population at the 0th year is 5000. Now, 2% increase is 100. So, population at the 1st year us 5000 ...

Q: 5. What values should be assigned to coefficients a1, a2, and az, so that the quadrature formula f(x...

A: Click to see the answer

Q: 3. Operation * is defined on the set { m, a, t, h} as shown in the table below: math mtam h h m at t...

A: Click to see the answer

Q: 2- Please I want solution of this question. Thanks

A: Click to see the answer

Q: 14. Find the eigenvalues and bases for the eigenspaces of 425 for -1 -2 -2 A= 2 1 -1 -1

A: If a is eigenvalue of matrix A then ak is an eigenvalue of matrix Ak.

Q: Given a fuzzy membership function for three linguistic variables (cold, average and hot} for the giv...

A: See Answer

Q: calc 3 please please please make sure this is right. i need an exact number please Use symmetry to e...

A: The region shaded with combination of green and pink is the required square.

Q: Solve the 2nd order differential equation: y"+2y(y')³=0

A: Click to see the answer

Q: (cos 2a) y/" – y = 0; y (0) = 1, y (0) = 1

A: Click to see the answer

Q: 11.In a group of 20 students, 8 students are girls. In how many ways can 12 students be selected so ...

A: total number of students = 20 number of girls = 8 therefore, the number of boys is 20-8=12 number of...

Q: Match a linear system -2 with one of the phase plane direction fields below: A B C D (The blue lines...

A: Click to see the answer

Q: Give the differential equations for the Malthus model and the Verhulst model. Give a graphical repre...

A: The differential equations for the Malthus model and the Verhulst model. Give a graphical representa...

Q: dz Compute Pc z-1)(z+i)(z-i)' where C is the simple closed path in the following (z-1)(z+i)(z-i) ' t...

A: Click to see the answer

Q: calc 3 Use symmetry to evaluate the given integral. where D is the region bounded by the square with...

A: Click to see the answer

Q: Help

A: From the given information, the current situation can be represents as shown below, From the above ...

Q: I have the solutions to this problem. Please provide me with 2-3 examples of similar questions.

A: Click to see the answer

Q: please explain.

A: Let a, b, c and d are integers then for ( a + b( 5^ 1/3 ) ) and ( c + d( 5^ 1/3 ) ) in A we have to ...

Q: If 1600 square centimeters of material is available to make a box with a square base and an open top...

A: find the explanation below

Q: Prove the Pythagorean theorem and its converse in R: f is orthogonal to g if and only if ||f-g||2 = ...

A: Click to see the answer

Q: Lara offers 100 autograph bats. If each is priced at p dollars, it is that the demand curvefor the b...

A: The given demand function is, p=250-q4. The number of bats offered by Lara is q=100. Then, p=250-q4=...

Q: d sec(11x – 4) dx = dt 13

A: Click to see the answer

Q: An adjacency matrix of a graph is given below: 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 10 0 0 1 1 1 0 1 ...

A: Click to see the answer

Q: Compute the probability that the sum of the pips on the upward faces of the two dice is 8 Answer in ...

A: Click to see the answer