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Solving for Equal Derivatives

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Let the functions ff and gg be defined by f(x)=x3/2f(x)=x^{3/2} and g(x)=ln⁡(x+5)g(x)=\ln(x+5). For what value of xx is f′(x)=g′(x)f'(x)=g'(x)?

A

x≈0.13x \approx 0.13

B

x≈0.018x \approx 0.018

C

x≈0.17x \approx 0.17

D

x≈1.3x \approx 1.3

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