a) $$ 6^{\log _{6} 0,125} $$ 8) $$ 4^{\log _{4} 10-3} $$

a) $$ 6^{\log_{6} 0{,}125} = 0{,}125 $$ б) $$ 4^{\log_{4} 10 - 3} = \frac{10}{64} = \frac{5}{32} $$ a) $$ 6^{\log_{6} 0{,}125} = 0{,}125 $$ б) $$ 4^{\log_{4} 10 - 3} = \frac{5}{32} $$

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Home Question Bank Math Algebra

Question

a)
8)

Ask by Frank Cole. in Russia

Dec 25,2024

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б)

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Extra Insights

To solve

, we can use the property of logarithms which states that

. So,

For the second expression,

, we first rewrite it using logarithm properties. This becomes

. Using the same property, we can simplify this to

. Therefore,

So the final results are:
a)

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a) 8)