log₄ x + log₂ x² = 10 → log₄ x + 2log₂ x = 10 → log₄ x + 2 * (log₂ 2)⁻¹ * log₄ x = 10 → log₄ x + 2 * (2)⁻¹ * log₄ x = 10 → log₄ x + log₄ x = 10 → 2log₄ x = 10 → log₄ x = 5 → x = 4⁵ → x = 1024
Namminersorneqassapput: logimi 4 x + logimi 2 x^2 = 10

= logimi 4 x + 2 logimi 2 x

= logimi 2^2 x + 2 logimi 2 x

= 1/2 logimi 2 x + 2 logimi 2 x

= (5/2) logimi 2 x

Takkiaatitsissoq logimi 2 x, tamarmi:

logimi 2 x = 4

Tammaattoq tamatigoortoq originali namminersorneqassapput, tusagassi:

logimi 4 x + logimi 2 x^2 = 10

logimi 4 16 + logimi 2 16^2 = 10

2 + 8 = 10

Tassani x = 16.