`log_b (3b^2)` Approximate the logarithm using the properties of logarithms, given `log_b (2) ~~ 0.3562, log_b (3) ~~ 0.5646, and log_b (5) ~~ 0.8271`.

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balajia | College Teacher | (Level 1) eNoter

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`log_b(3b^2)=log_b(3)+log_b(b^2)`

`=log_b(3)+2log_b(b)`

`=log_b(3)+2`

=0.5646+2

=2.5646