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Logarithmic Properties

Logarithmic Properties. Exponential Function y = b x. Logarithmic Function x = b y y = log b x Exponential Form Logarithmic Form. The logarithm is the exponent to which a base must be raised to give a power. Exponential Form Logarithmic Form. 5 3 = 125 

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Logarithmic Properties

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  1. Logarithmic Properties Exponential Function y = bx Logarithmic Function x = by y = logbx Exponential Form Logarithmic Form

  2. The logarithmis the exponent to which a base must be raised to give a power. Exponential FormLogarithmic Form 53 = 125  72 = 49  5-2 = 1/25 3-4 = 1/81 9= 3  36= 6  be= P 3 = log5125 2 = log749 -2 = log5(1/25) -4 = log3 (1/81)  = log93  = log366 e = logbP

  3. The logarithmis the exponent to which a base must be raised to give a power. Exponential FormLogarithmic Form  4 = log381  2 = log864  -2 = log7(1/49)  -4 = log2 (1/16)  = log813  = log322 y = logax 34= 81 82 = 64 7-2 = 1/49 2-4 = 1/16 81= 3 32= 2 ay= x

  4. Exploring the First Log PropertyEx#1] Evaluate Method #1 Let Method #2 First Log Property

  5. Using the First Log Property Ex#2]Evaluate. a) = = -4 b) = = 0 c) = = = 6

  6. Exploring the SecondLog PropertyEx#3] Evaluate Method #1 Let Method #2 SecondLog Property

  7. Using the SecondLog Property Ex#4] Evaluate. a) = 64 c) = = = 36 b) = 125

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