Respuesta :
The solution is x = 0.57
The value of the equation 23ˣ = 6 is x = 0.57
What is Logarithm?
The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the equation be represented as A
Now , the value of A is
23ˣ = 6 be equation (1)
Now , the equation can be simplified by using logarithm
And , log Aⁿ = n log A
So , substituting the values in the equation , we get
log 23ˣ = log 6
Using the properties of logarithm
x log 23 = log 6
Divide both sides of the equation by log 23 , we get
x = ( log 6 ) / ( log 23 )
x = 0.77815125 / 1.3617278
On simplifying the equation , we get
The value of x = 0.5714
Therefore , the value of x is 0.57
Hence , The value of the equation is x = 0.57
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