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Prove $a^{\log_bc}=c^{\log_ba}$

score 1.2k · Answer 1 · 2026-03-25 09:23:20

1.2k

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Prove $a^{\log_bc}=c^{\log_ba}$

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score 72 · Answer 2 · 2026-04-10 11:48:16

72

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Need help on quadratics problem.

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score 164 · Answer 3 · 2026-04-09 02:55:18

164

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Find $y$ in $y^4-6y^3+14y^2-20y+8=0$

Published on 09 Apr 2026 - 2:55

score 85 · Answer 4 · 2026-04-11 15:16:24

85

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how to solve the following inequality

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score 258 · Answer 5 · 2026-04-12 05:58:26

258

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score 886 · Answer 6 · 2018-03-03 16:21:05

886

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Sketch the region in the plane consisting of all points (x,y) such that $2xy\le |x-y|\le x^2+y^2$

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score 118 · Answer 7 · 2026-04-13 07:50:12

118

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score 1.8k · Answer 8 · 2026-03-25 04:43:44

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score 258 · Answer 9 · 2026-04-13 01:54:29

258

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How to simplify this formula: $ x^{\ln \left( 3 \right)}-3^{\ln \left( x \right)}$?

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score 130 · Answer 10 · 2026-04-11 04:29:56

130

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Finding a new polynomial with roots $k$ greater than a given polynomial

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score 1k · Answer 11 · 2026-04-09 03:41:37

1k

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score 81 · Answer 12 · 2026-03-29 16:03:09

81

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For $3x^3-5x^2+12x-18=0$ find the value of $(1+\frac{x_1}{x_2})(1+\frac{x_2}{x_3})(1+\frac{x_3}{x_1})$ using Vieta's formulas

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score 79 · Answer 13 · 2026-04-12 06:18:19

79

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score 84 · Answer 14 · 2018-03-04 21:13:23

84

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Find the points on the graph for which the coordinates are natural numbers

Published on 04 Mar 2018 - 21:13

score 115 · Answer 15 · 2026-04-10 21:25:03

115

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How to show that in function $f(x)=\frac{x}{(x+b)^2}$ maximum value of $f(x)$ is when $x = b$?

Published on 10 Apr 2026 - 21:25

List Question

Prove $a^{\log_bc}=c^{\log_ba}$

Need help on quadratics problem.

Find $y$ in $y^4-6y^3+14y^2-20y+8=0$

how to solve the following inequality

How do you deal with logs with multiple bases?

Sketch the region in the plane consisting of all points (x,y) such that $2xy\le |x-y|\le x^2+y^2$

Solving Piecewise Function where $f(x)$ is an involution

Prove that for a given point on an ellipse, the sum of the distances from each focal point is constant

How to simplify this formula: $ x^{\ln \left( 3 \right)}-3^{\ln \left( x \right)}$?

Finding a new polynomial with roots $k$ greater than a given polynomial

Inverse Functions and their intersection points

For $3x^3-5x^2+12x-18=0$ find the value of $(1+\frac{x_1}{x_2})(1+\frac{x_2}{x_3})(1+\frac{x_3}{x_1})$ using Vieta's formulas

Solving a system of equations:

Find the points on the graph for which the coordinates are natural numbers

How to show that in function $f(x)=\frac{x}{(x+b)^2}$ maximum value of $f(x)$ is when $x = b$?

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