A logarithm gives the index of a power. ax=N _a N=x a0, a 1, N0. Here a is the base and x is the i

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A logarithm gives the index of a power. ax=N _a N=x a>0, a 1, N>0. Here a is the base and x is the index. **Index form** | **Logarithmic form** 34=81 | log_3 81=4 50=1 | log_5 1=0 10-2=0.01 | lg 0.01=-2 2x=7 | log_2 7=x Common and natural logarithms Common logarithm: lg x=log_10x. Natural logarithm: ln x=log_e x, where e 2.718. Real logarithms of zero or negative numbers are undefined.

Accepted Answer

$a^b=c\Longleftrightarrow b=\log_a c$

Logarithms I – Conversion between Logarithmic and Exponential Form

Logarithms I – Conversion between Logarithmic and Exponential Form

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