SOLUTION: 1.the exact value of log4[log3(log28)] 2. If log3 = A and log7 = B, find (log base of 7) 9 in terms of A and B? 3. Exponential functions and logarithmic functions are inver

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1.the exact value of log4[log3(log28)] 2. If log3 = A and log7 = B, find (log base of 7) 9 in terms of A and B? 3. Exponential functions and logarithmic functions are inver      Log On


   



Question 69434: 1.the exact value of log4[log3(log28)]
2. If log3 = A and log7 = B, find (log base of 7) 9 in terms of A and B?
3. Exponential functions and logarithmic functions are inverse functions. It is because of this that it would make sense that they have some similar properties. Identify which property of exponents is similar to logAB = logA + logB and which is similar to logA/B = logA – logB. Explain how they are similar.

Answer by stanbon(75887) About Me  (Show Source):
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1.the exact value of log4[log3(log28)]
log(base3)28 =[log28]/[log3]=3.033103256...
log(base4)3.033103256... =log(3.033103256...)/log4 = 0.8003973063...
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2. If log3 = A and log7 = B, find (log base of 7) 9 in terms of A and B?
log(base7)9 = log(base7)3^2 = 2log(base7)3 = log7/log3 = 2B/A
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3. Exponential functions and logarithmic functions are inverse functions. It is because of this that it would make sense that they have some similar properties. Identify which property of exponents is similar to logAB = logA + logB and which is similar to logA/B = logA – logB. Explain how they are similar.
You may edit the question.
Logs are exponents.
When you multiply numbers written with the same base you add exponents.
The same is true of logs; when you want the log of a product you add the logs
of the factors.
When you divide numbers written with the same base you subtract the exponents. The same is true of logs; When you want the log of a quotient you subtract the logs