The logarithm to base a of a number P, is the index x to which a must be raised to be equal to P.
Thus if P = ax, then x is the logarithm to the base aof P. We write this as x = log a P. The relationship logaP = x and ax=P are equivalent to each other.
ax=P is called the index form and logaP = x is called the logarithm form
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Conversion From Index to Logarithmic Form
Write each of the following index form in their logarithmic form
- a) 26 = 64 b) 251/2 = 5 c) 44= 1/256
- a) 26 = 64
Log2 64 = 6
- b) 251/2 = 5
- c) 4-4= 1/256
Log41/256 = -4
Conversion From Logarithmic to Index form.
- a) Log2128 = 7 b) log10 (0.01) = -2
- c) Log5 2.25 = 2
- a) Log2128 = 7
27 = 128
- b) Log10(0.01) = -2
- c) 5 2.25 = 2
1.52 = 2.25
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