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Understanding and Using the Inverse Relationship Between Exponents and Logarithms

Find the value of $\log_{10}(10^{-7})$

Log form: $\log_b{y}=x \Leftrightarrow$ Exponent form: $b^x=y$

$\log_{10}(10^7)=x$

b=10

$y=10^7$

Exponent form: $10^x = 10^7$

x=7