Question

Expand the following logarithmic expression. log5 (8 * (sqrt(t))/v) log5 8 + 2 * log5 t - log5 v log5 8 + log5 1/2 * t - log5 v 1/2 * log5 8 + 1/2 * log5 t - 1/2 * log5 v log5 8 + 1/2 * log5 t - log5 v

Answer 1

Answer: The answer is D.

log5 8+1/2log5 t-log5 v

Step-by-step explanation:

Answer 2

The expended logarithmic expression is log₅(8)+log₅(t¹/²)−log₅(v)

What is logarithm?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which a fixed number, base b, must be raised in order to create a specific number x, is represented by the logarithm of that number.

Given

Rewrite

log₅(8√t/v) as log₅(8)+log₅(√t/v).

Rewrite

log₅(√t/v) as log₅(√t)−log₅(v).

log₅(8)+log₅(√t)−log₅(v)

Use

$\sqrt[n]{a^{x} } = a^{\frac{x}{n} }$

to rewrite

√t as $t^{\frac{1}{2} }$

log₅(8)+log₅(t¹/²)−log₅(v)

To learn more about logarithm refer to:

https://brainly.com/question/2292385

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