Three Implicit Solutions

★ 6/10functions Monotonicity algebra Estimation

Problem

Real numbers $a, b, c$ satisfy

a + 2^a = 2, \qquad b + \cos(3b) = 3, \qquad c + \log_4 c = 6.

Arrange $a, b, c$ in increasing order, with proof.

Answer

Solution

Difficulty	6/10
Topics	functions, Monotonicity, algebra, Estimation

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.