Logarithms

Prove `log  "a"^2/"bc" + log  "b"^2/"ca" + log  "c"^2/"ab"` = 0

Let b > 0 and b ≠ 1. Express y = b^x in logarithmic form. Also state the domain and range of the logarithmic function

Compute log₉ 27 – log₂₇ 9

Solve log₈x + log₄x + log₂x = 11

Solve log₄ 2^8x = 2^log₂8 

If a² + b² = 7ab, show that `log  ("a" + "b")/3 = 1/2(log"a" + log "b")`

Prove that `log 2 + 16log  16/15 + 12log  25/24 + 7log  81/80` = 1

Prove that log_a² a + log_b² b + log_c² c = `1/8`