SOLUTION: Change each logarithmic form to an equivalent exponential form: (please show your work on how you reached the deteriminations) a. log( 3, 81) = 4 b. log( 10, 0.0001) = 4

Question 205759: Change each logarithmic form to an equivalent exponential form:
(please show your work on how you reached the deteriminations)
a. log( 3, 81) = 4
b. log( 10, 0.0001) = 4
c. log( 3, (1/243) = -5
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I'm not sure if the formula above turned out correctly, but if it didn't, I tried to spell it out below:

a. Should read, log with the 3 below the g, then 81 =4

b. Should read, log with the 10 below the g, then 0.0001 = –4

c. Should read log with the 3 below the g, then in paranthesis 1 over 243,
end of paranthesis = - 5

Answer by stanbon(48535) (Show Source):
You can put this solution on YOUR website!
Change each logarithmic form to an equivalent exponential form:
(please show your work on how you reached the deteriminations)
a. log( 3, 81) = 4
b. log( 10, 0.0001) = -4
c. log( 3, (1/243) = -5
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Comment: log means "exponent of"
a. Your problem says "the exponent of 3 is 4 ; the result is 81"
3^4 = 81
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b. Your problem says "the exponent of 10 is -4 ;the result is 0.0001"
10^-4 = 0.0001
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c. Your problem says "the exponent of 3 is -5 ; the result is (1/243)"
3^-5 = 1/243
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Cheers,
Stan H.