3 years ago

Simplify: log81/8 + 2log2/3 - 3log 3/2 +log 3/4

Mathematics

1 answer:

MissTica3 years ago

5 0

Answer:

Step-by-step explanation:

Using the laws of logarithms:

log81/8 + 2log2/3 - 3log 3/2 + log 3/4

= log 81/8 + log (2/3)^2 - log (3/2)^3 + log 3/4

= log 81/8 + log 4/9 - log 27/8 + log 3/4

= log 81/8 + log 4/9 - (log 27/8 - log 3/4)

= log (81/8 * 4/9) - log (27/8 * 4/3)

= log 9/2 - log 9/2

= 0.

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Simplify: log81/8 + 2log2/3 - 3log 3/2 +log 3/4​

Simplify: log81/8 + 2log2/3 - 3log 3/2 +log 3/4