SOLUTION: Explain the connection between the exponential equation (10^3 x 10^5= 10^8) and the logarithmic equation (log10^3 + log10^5=log10^8)

Question 1012074: Explain the connection between the exponential equation (10^3 x 10^5= 10^8) and the logarithmic equation (log10^3 + log10^5=log10^8)
Answer by ValorousDawn(53) (Show Source): You can put this solution on YOUR website!
In general and .
So, . , therefore,

The two equations are related because the additions of logarithms produces the same operation as multiplication with regular numbers. Moreover, the conversion is also able to be done, to get the same result on both equation just by taking log/exponentiation, showing that the two are inverses.
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