log₄(64)
To solve the logarithmic equation log₄(64), we need to determine the number that needs to be raised to the power of 4 to obtain 64
To solve the logarithmic equation log₄(64), we need to determine the number that needs to be raised to the power of 4 to obtain 64.
In other words, we need to find the value of x that satisfies the equation 4^x = 64.
Written in exponential form, 4^x = 64 can be rewritten as 4^x = 4^3, since 64 is equal to 4 raised to the power of 3.
From this, we can conclude that x = 3.
Therefore, log₄(64) = 3.
In general, the logarithm function logₐ(x) gives the exponent to which we need to raise the base (a) to obtain the value (x).
In this specific case, log₄(64) = 3 means that 4 raised to the power of 3 is equal to 64.
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