The solution of the logarithmic equation will be negative one-sixth, that is - 1/6.
What is a logarithm?
Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The logarithmic equation is given below.
log₆₄ 0.5 = x
Then the value of the variable x will be
Taking anti-log, then the logarithmic equation will be
64ˣ = 0.5
Taking natural log on both side, then the equation will be
ln64ˣ) = ln(0.5)
Simplify the logarithmic equation, then the equation will be
x ln 64 = ln (1/2)
x ln (2⁶) = ln (2⁻¹)
6x ln(2) = - ln(2)
6x = –1
x = –1/6
The solution of the logarithmic equation will be negative one-sixth, that is - 1/6.
More about the logarithm link is given below.
https://brainly.com/question/7302008
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