$T=a{L}^b$

Equation $1$

Exercise $1$

Start with the Equation $1$ given above. Take the logarithm of both sides, and reduce this equation

by using the rules for logarithms that you learned in the last lab.

a$.$ Provide your work and the equation you arrived at$.$

In your final reduction, you should recognize that some values are constant, while one

term is dependent upon the length $L($specifically on $lo{g}_{10}(L)).$

b$.$ What is the mathematical relationship between the slope of the log$-$log line and the unknowns

a and $b?(1-2$ Sentences$)$

c$.$ What is the mathematical relationship between the intercept of the log$-$log line with the vertical

axis and the unknowns a and $b?(1-2$ Sentences$)$