The equation has

MATHEMATICS · Multi correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The equation (log⁡10x+2)3+(log⁡10x−1)3=(2log⁡10x+1)3(\log_{10}x+2)^3+(\log_{10}x-1)^3=(2\log_{10}x+1)^3 has (1) No natural solution (2) Two rational solutions (3) No prime solution (4) One irrational solution

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