Problem

Rewrite the equation $\log \left(\frac{a}{b}\right)=14$ in the form $10^{x}=y$ using exponents instead of logarithms.

Solution

Step 1 :Rewrite the equation $\log \left(\frac{a}{b}\right)=14$ in the form $10^{x}=y$ using exponents instead of logarithms.

Step 2 :The logarithm base 10 can be rewritten as an exponent of 10. In this case, the equation $\log \left(\frac{a}{b}\right)=14$ can be rewritten as $10^{14}=\frac{a}{b}$. This is because the logarithm base 10 of a number is the exponent to which 10 must be raised to get that number. So, if $\log \left(\frac{a}{b}\right)=14$, then $10^{14}$ must equal $\frac{a}{b}$.

Step 3 :Final Answer: The equation $\log \left(\frac{a}{b}\right)=14$ in the form $10^{x}=y$ using exponents instead of logarithms is $\boxed{10^{14}=\frac{a}{b}}$.

From Solvely APP
Source: https://solvelyapp.com/problems/pi5imJZ7mb/

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