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2 years ago

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

Mathematics

1 answer:

MissTica2 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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3 years ago

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Y_Kistochka [10]

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3 years ago

Solve the following: - 3 raised to 1 by 5 the whole raised to 4 (3^1/5)^4

Diano4ka-milaya [45]

Answer:

8.30256

Step-by-step explanation:

Step 1: Write out expression

$((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4$

Step 2: Use BPEMDAS to evaluate

$(-1.24573)^{4(3^{\frac{1}{5} })^4$

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3 years ago

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

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