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2 years ago

Log_8(5x+4)=3x-4

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

6 0

The equivalent equation of the logarithmic equation is $5x + 4 = 8^{3x - 4}$

<h3>How to rewrite the equation?</h3>

The logarithmic equation is given as

Log_8(5x+4)=3x-4

Rewrite properly as:

$\log_8(5x+4)=3x-4$

Apply the following law of logarithm

$\log_a(b) = x \to a = b^x$

So, we have:

$5x + 4 = 8^{3x - 4}$

Hence, the equivalent equation of the logarithmic equation is $5x + 4 = 8^{3x - 4}$

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Answer:

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Step-by-step explanation:

Given:

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Use the Power Rule Law:

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Use the Quotient Rule Law:

$log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})$

Use the Product Rule Law:

$log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})$

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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