1. Given the product law of logarithms, prove the product law of exponents.
2. Given the quotient law of logarithms, prove the quotient law of exponents.
3. Apply algebraic reasoning to show that
a=b^(loga/logb) for any a,b>0
Please explain these to me.
All I know is that
The product law of logs are:
Log(AB)=logA+logB
The Quotient law of logs are:
Log(A/B)=logA-Logb
Edit:
For product law:
let m=b^x and let n=b^y
mn=(b^x )(b^y)
and then what should i do?