PLEASE HELP 30 POINTS AND BRANLIEST! Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some rope and how the strength relates to the number of woven strands in the rope. The data are represented by the exponential function f(x) - 2^x where x is the number of woven strands. Convert this equation to a logarithmic function and solve for x given the strength is 116 Pascals.

Hence the value for x given the strength is 116 Pascals is 6.8571

From the question given, we are told that the data regarding the strength, measured in Pascals (Pa), of some rope and how the strength relates to the number of woven strands in the rope is expressed as;

let y = f(x), hence;

Since the base number is 2, we can proceed to take the logarithm to base 2 of both sides as shown;

Since log₂2 = 1, then;

Given that the strength is 116, then y = 116

This can also be expressed as:

Hence the value for x given the strength is 116 Pascals is 6.8571

Learn more here on logarithm here: link

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Step-by-step explanation:

y = 2^x

Apply log2 both sides

log2(y) = log2(2^x)

log2(y) = xlog2(2)

x = log2(y)

x = log2(116)

x = lg(116)/lg(2)

x = 6.857970995

No. of strands has to be a natural no. So, x = 7

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²