Question 170088: The questions are rewrite the following expression using one or more properties of logarithims and evaluate without a calculator.
1. log 5 (25 2/5 -)=
Plese check and see if this is correct. log5 25 2 - log5 5, 2 log5 25- log5 5, 2x2-1= 4-1=3
2. log5 125 + log5 5=
I was able to figure out a portion of the problem but then got lost. Please check and help me with the rest. log5 (125x5)= log5 625 ( this is where I got lost)
3. log9 3 - log9 243=
I think I figured out a portion of this problem as well, but then got lost. Please check and help me with the rest. log9 3/243 reduced to log9 1/81,
log9 81 ( this is where I got lost)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The questions are rewrite the following expression using one or more properties of logarithims and evaluate without a calculator.
1. log 5 (25^2/5)= Log5(25^2) - log5(5) = 2log(5^2) - 1 = 4-1 = 3
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Note the "-" to the right of the 5 has no meaning is nothing
follows it.
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2. log5 (125) + log5 (5) = 2 + 1 = 3
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I was able to figure out a portion of the problem but then got lost. Please check and help me with the rest. log5 (125x5)= log5 625 ( this is where I got lost)
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Correct answer: log5(125*5) = log5(125) + log5(5) = 3+1 = 4
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3. log9 3 - log9 243=
Correct answer:
[log3/log9] - [log243]/log9]
Using base 3 to would get:
[1/2] - [5/2] = -2
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Cheers,
Stan H.
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