# Law of Logarithms

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16-Jan-2016Category

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### Transcript of Law of Logarithms

Law of Logarithms

How do we write an exponential equation as a logarithmic equation?

Rewrite 3 = 9 as a logarithmic equation.log3 9 = 2Write the following exponential equations as logarithmic equations.

82 = 64 2) 100 = 1 3) 3-2 = 1/9

Law of logsThey are similar to exponent rules1) Bx = Y logB Y = X2) logB X = logB Y X = Y3) logB X + logB Y = logB (XY) and logB X - logB Y = logB (X/Y)4) Z logB X = logB Xz

Write the following logarithms as 1 logarithmlog5 10 + log5 62) log4 6 + log4 33) 3 log6 24) 2 log3 3 + log3 45) (1/2)log2 25 + log2 2 - log2 56) 4 log3 3 + log3 x - log3 5

Evaluating LogsEvaluate log74just use your calculatorThe log with the base is ALWAYS THE DENOMINATOR!!! (log(4))/(log(7))

Solving Logarithmic Equationslog7n = (2/3)log78log6x + log69 = log654log9(3x+14) log95 = log9(2x)log10(3x 5) + log10 x = log102log10 4 + log10x = 2

Solve each equation.

Solve continued