fabiisawesome13 fabiisawesome13
  • 01-05-2022
  • Mathematics
contestada

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

Respuesta :

kalulesultan
kalulesultan kalulesultan
  • 01-05-2022

Answer:

answer = 3(a +b)

Step-by-step explanation:

[tex] 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)[/tex]

Answer Link

Otras preguntas

Costs, such as investigating the possibilities of and actually creating or acquiring a trade or business.
Describe a trend in presidential nominees to district courts with regard to gender.
what is photosynthesis​
The Normal approximation (with continuity correction) of the probability P(13 < X ≤ 16) is equal to:_________
The "specifications" of a standardized futures contract describe the commodity or other asset covered by the contract and the amount of such commodity or asset
Drag each label to the appropriate bin. If an organism is both a secondary consumer and a tertiary consumer, drag it to the "both secondary and tertiary consume
Compare and contrast the Kansas Nebraska Act of 1854 to the Missouri Compromise of 1820. Identify a minimum of 2 similarities and 2 differences.
Assume all memory accesses are cache hit. 20% of the Load instructions are followed by a dependent computational instruction, and 30% of the computational instr
Science help please
What battle ended the Revolutionary war and how?