Log ( przy podstawie 2 ) 12 do potęgi 3 + log ( przy podstawie 2) 144 do potęgi 3

Log2  12³  + log2 144³ = log2 (4 * 3)³  +log2 (16 * 9)³ =  3 [ log2 4 + log2 3] + 3 [ log2 16 + log2 9 ] 3 [ log2 2^2 + log2 3] + 3 [ log2 2^4 + log2 3^2 ] = 3 [ 2 + log2 3 ] + 3 [ 4 + 2 log2 3 ] = 6 + 3log2 3 + 12 + 6log2 3 = 18 + 9log2 3 = 9(2 + log2 3)   lub 2 sposób: Log2  12³  + log2 144³ = log2 12³ + log2 (12²)³ = log2 (12³ * 12^6) = log2 12^9 = 9 * log2 12 = 9log2 (4 * 3) = 9[log2 4 + log2 3] = 9[ log2 2^2 + log2 3] = 9(2 + log2 3)

log₂12³ + log₂144³ = log₂12³ + log₂(12²)³ = log₂12³ + log₂12⁶ = log₂(4*3)³ + log₂(4*3)⁶ = = 3(2*log₂3) + 6(2*log₂3) = 6 + 3log₂3 + 12 + 6log₂3 = 18 + 9log₂3 = 9(2 + log₂3)