How do you calculate log_9 48log948 with a calculator?

1 Answer
George C.
Dec 10, 2017

Use the change of base formula with loglog or lnln ...

Explanation:

You can use the change of base formula for logarithms:

log_b a = log_c a / log_c blogba=logcalogcb

with c=10c=10 (common logarithm) or c=ec=e (natural logarithm):

log_9 48 = log 48 / log 9 ~~ 1.681241237 / 0.954242509 ~~ 1.761859507log948=log48log9≈1.6812412370.954242509≈1.761859507

log_9 48 = ln 48 / ln 9 ~~ 3.871291911 / 2.197224577 ~~ 1.761859507log948=ln48ln9≈3.8712919112.197224577≈1.761859507

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