5
(iv) x log2a
+a
log2 * = 2a2
value of a
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The solution of the logarithmic equation is approximately 5.66 .
The logarithm is a simpler way to write a exponential equation.
The exponential equation nˣ = b is written as logₙ b=x( read as logarithm of b to the base of n is equal to x).
The various properties of logarithm are:
log x+ log y= log xylog x - log y= log(x/y)log xⁿ=n log xlogₐᵃ=1
The given equation is :
log₂ x = 2.5
This equation is of the form logₐ b=n
We know that from the properties of logarithm logₐ b=n is equivalent to aⁿ=b.
So the given equation can be written as
Solving we get
x=5.6568....
or, x≈5.66
Therefore the logarithm equation has a solution for x where the value of x is approximately 5.66.
To learn more about logarithm visit:
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