To find the value of log₄2, we need to determine the power to which 4 must be raised to obtain 2. This can be written as:
4^(x) = 2
To solve for x, we can take the logarithm of both sides of the equation. Using the base 4 logarithm (log₄), we have:
log₄ (4^x) = log₄ 2
x * log₄ 4 = log₄ 2
Since log₄ 4 = 1 (as any number raised to the power of 1 is equal to itself), we can simplify the equation:
x * 1 = log₄ 2
x = log₄ 2
The value of log₄ 2 is approximately equal to 0.5, or 1/2.
What is the value of log(4)2?
answer is 1/2
work out
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