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Sveta_85 [38]
2 years ago
15

Use log 2=a, log 3=b to evaluate log 216

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
8 0

Answer:

answer = 3(a +b)

Step-by-step explanation:

log(2)  = a \:  log(3) =  b \:  \:  \\  log(216) =  log(2 \times 2 \times 2 \times 3 \times 3 \times 3)  \\  =  log( {2}^{3}  \times  {3}^{3} )  \\  =  log(2^{3} )  +  log( {3}^{3} )   \\   = 3 log(2)  + 3 log(3)  \\  = 3(a) + 3(b) \\  = 3(a + b) \\  \\  log(216)  = 3(a + b)

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