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10 ^(k - 2) = 100 find the value of k​
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19 votes

10 ^(k - 2) = 100
find the value of k​

User Himanshu Padia
by
7.1k points

1 Answer

3 votes

Answer:

k = 4

Step-by-step explanation:


\sf 10^(k-2)=100

make bases similar


\sf 10^(k-2)=10^2

cancel out the bases


\sf k-2=2

add '2' on both sides


\sf k-2+2=2+ 2

simplify the following


\sf k =4

User Philipp Merkle
by
7.8k points
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