Question

3logbase4 of 6+logbase4 of 8+logbase4 of 36-logbase4 of 48

Answer 1

3logbase4 of 6+logbase4 of 8+logbase4 of 36-logbase4 of 48

= 3log₄ 6 + log₄ 8 + log₄ 36 - log₄ 48
= log₄ (6^3 * 8 * 36/48)
= log₄ 1296
= log₄ (16*81)
= log₄ 16 + log₄81
= 2 + log₄81