Convert logarithmic expression from one base to another

Algebra II: Convert logarithmic expression from one base to another

This is a free lesson from our course in Algebra II


	In this section you'll look at a property of logs that they let you change bases by simple division. E.g. log_bx = log_ax / log _ab. This can be done with Natural logs as well, using the following equation: log_bx = ln(x) / ln(b). For example, the logarithmic expression log₂1024 to base 16 can be written as log₁₆1024 log₂16. Properties of logarithm: log_a(xy) = log_ax + log_ay log_a(x/y) = log_ax - log_ay (More text below video...)

Other useful lessons:

Solving logarithmic equations

Evaluate value of a logarithmic expression

The laws of logarithm

Solving assorted equations using logarithms

Natural logarithm

Is logarithmic statement sometimes, always or never true

(Continued from above) log_a(x^r) = r log_ax
log_aa = 1
log_a1 = 0
log_a(1/ x) = -log_a x
log_ax = log x / log a = ln x / ln a

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