Answer:
8
Step-by-step explanation:
2^x = 256
x=log[tex]_{2}256[/tex]
[tex]\frac{ln256}{ln2}[/tex] = 8
The answer is 8
The required value of woven for 256 pascals is 8.
Exponential function is given f(x) = 2^x where f(x) = strength in pascal and x is number of woven. Statement to explain how she can convert this equation to a logarithmic function when strength is 256 Pascals.
The function which is in format f(x) = where, a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
f(x) = 256
256 = 2^x
Taking the log of base 2 on both sides.(This is how function transforms into a logarithmic function )
[tex]log_2256=log_22^x[/tex]
[tex]log_22^8=xlog_22[/tex]
log to base 2 of 2 is 1
[tex]8log_22=x[/tex]
x = 8(1)
x = 8
Thus, the required value of woven for 256 pascals is 8.
Learn more about exponential function here:
brainly.com/question/15352175
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