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b

Here we can use the rule we used in Part A directly since the $10_{5}$ is already written as a power with the base $10.$

$g(10_{5})$

$g(10_{m})=m$

$5$

c

What should you raise $10$ to the power of in order for it to equal $1?$ Any number, except the number $0,$ raised to the power $0$ equals $1.$ That means $1$ can be written as $10_{0}.$

d

To calculate $g(1001 ),$ we will rewrite the argument as a power of ten, and then use the same method as previously.

$g(1001 )$

WritePowWrite as a power

$g(10_{2}1 )$

FracToNegExponent$a_{m}1 =a_{-m}$

$g(10_{-2})$

$g(10_{m})=m$

$-2$