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Logarithmic Equations

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StarStarStarStar

\ln(x) + \ln(2x) = 0

StarStarStarStar

x = 1/\sqrt{2}

StarStarStarStar

log(x^2) - log(25) = 2

StarStarStarStar

x = 50 or x = -50

StarStarStarStar

\log_3(27) + \log_3(x) = \log_3(81)

StarStarStarStar

x = 3

StarStarStarStar

e^{2\ln(x)} = e^6

StarStarStarStar

x = e^3

StarStarStarStar

\log(x + 4) + \log(2) = \log(x - 4)

StarStarStarStar

x = 6

StarStarStarStar

2\log(x) = \log(64)

StarStarStarStar

x = 8

StarStarStarStar

\log_5(x - 1) = \log_5(24) - \log_5(3)

StarStarStarStar

x = 9

StarStarStarStar

e^{\ln(x+1)} = e^3

StarStarStarStar

x = 19

StarStarStarStar

2\log(x) - \log(8) = 0

StarStarStarStar

x = 2

StarStarStarStar

3^{\log_3(x-2)} = 27

StarStarStarStar

x = 11

StarStarStarStar

\log_2(x) + \log_2(x - 3) = 3

StarStarStarStar

x = 5

StarStarStarStar

10^{\log(x)} = 100

StarStarStarStar

x = 10

StarStarStarStar

log(x - 1) - log(4) = 0

StarStarStarStar

x = 5

StarStarStarStar

\log_4(x) - \log_4(2) = 1

StarStarStarStar

x = 8

StarStarStarStar

\log_9(81) + \log_9(x - 1) = 2

StarStarStarStar

x = 10

StarStarStarStar

\ln(x^2 - 4) = \ln(5x)

StarStarStarStar

x = 4

StarStarStarStar

\log(3x) + \log(5) = \log(45)

StarStarStarStar

x = 3

StarStarStarStar

\log_{16}(256) = \log_{16}(x^2)

StarStarStarStar

x = 4 or x = -4

StarStarStarStar

log(x) + log(x - 2) = 1

StarStarStarStar

x = 3

StarStarStarStar

\log_7(x + 5) = 2

StarStarStarStar

x = 44

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